Scientific Publications

  • Publications

    2021 - 2020 - 2019

    2023

    $\bullet $ Volker Branding and Anna Siffert. On the equivariant stability of harmonic self-maps of cohomogeneity one manifolds. J. Math. Anal. Appl., 517(2):126635, January 2023. doi:10.1016/j.jmaa.2022.126635.

    $\bullet $ Arnulf Jentzen and Adrian Riekert. Convergence analysis for gradient flows in the training of artificial neural networks with ReLU activation. J. Math. Anal. Appl., 517(2):126601, January 2023. doi:10.1016/j.jmaa.2022.126601.

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    2022

    $\bullet $ Steffen Dereich and Sebastian Kassing. Cooling down stochastic differential equations: Almost sure convergence. Stoch. Process. their Appl., 152:289–311, October 2022. doi:10.1016/j.spa.2022.06.020.

    $\bullet $ Adrian Riekert. Convergence rates for empirical measures of Markov chains in dual and Wasserstein distances. Stat. Probab. Lett., 189:109605, October 2022. doi:10.1016/j.spl.2022.109605.

    $\bullet $ Amandine Escalier. Local-to-global-rigidity of lattices in $SL_n(\mathbb K)$. Ann. Inst. Fourier, 72(5):1733–1771, September 2022. doi:10.5802/aif.3490.

    $\bullet $ Georg Menz, André Schlichting, Wenpin Tang, and Tianqi Wu. Ergodicity of the infinite swapping algorithm at low temperature. Stoch. Process. Their Appl, 151:519–552, September 2022. doi:10.1016/j.spa.2022.06.015.

    $\bullet $ Piotr Wozniak. Sobolev regularity for linear growth functionals acting on $\mathbb C$-elliptic operators. Q. J. Math., August 2022. doi:10.1093/qmath/haac022.

    $\bullet $ Thomas Godland, Zakhar Kabluchko, and Christoph Thäle. Beta-star polytopes and hyperbolic stochastic geometry. Adv. Math., 404:108382, August 2022. doi:10.1016/j.aim.2022.108382.

    $\bullet $ Martin Hutzenthaler, Arnulf Jentzen, and Thomas Kruse. Overcoming the curse of dimensionality in the numerical approximation of parabolic partial differential equations with gradient-dependent nonlinearities. Found. Comput. Math., 22(4):905–966, August 2022. doi:10.1007/s10208-021-09514-y.

    $\bullet $ Arnulf Jentzen and Adrian Riekert. A proof of convergence for stochastic gradient descent in the training of artificial neural networks with ReLU activation for constant target functions. Z. Angew. Math. Phys., 73(5):188, August 2022. doi:10.1007/s00033-022-01716-w.

    $\bullet $ Zakhar Kabluchko. Face numbers of high-dimensional Poisson zero cells. Proc. Amer. Math. Soc., August 2022. doi:10.1090/proc/16085.

    $\bullet $ Johannes Ebert and Oscar Randal-Williams. The positive scalar curvature cobordism category. Duke Math. J., 171(11):2275–2406, August 2022. doi:10.1215/00127094-2022-0023.

    $\bullet $ Mark A. Peletier and André Schlichting. Cosh gradient systems and tilting. Nonlinear Anal., pages 113094, August 2022. doi:10.1016/j.na.2022.113094.

    $\bullet $ Barbara Niethammer, Robert L. Pego, André Schlichting, and Juan J. L. Velázquez. Oscillations in a Becker-Döring model with injection and depletion. SIAM J. Appl. Math, 82(4):1194–1219, August 2022. doi:10.1137/20M1398664.

    $\bullet $ Johannes Branahl, Alexander Hock, and Raimar Wulkenhaar. Blobbed topological recursion of the quartic Kontsevich model I: Loop equations and conjectures. Commun. Math. Phys., 393(3):1529–1582, August 2022. doi:10.1007/s00220-022-04392-z.

    $\bullet $ Zakhar Kabluchko, Matthias Löwe, and Kristina Schubert. Fluctuations of the magnetization for ising models on Erdős-Rényi random graphs – the regimes of low temperature and external magnetic field. Lat. Am. J. Probab. Math. Stat, 19:537––563, August 2022. doi:10.30757/ALEA.v19-21.

    $\bullet $ Julius Lohmann, Bernhard Schmitzer, and Benedikt Wirth. Formulation of branched transport as geometry optimization. J. Math. Pures Appl., 163:739–779, July 2022. doi:10.1016/j.matpur.2022.05.021.

    $\bullet $ Thomas Godland and Zakhar Kabluchko. Angle sums of Schläfli orthoschemes. Discret. Comp. Geom., 68(1):125–164, July 2022. doi:10.1007/s00454-021-00326-z.

    $\bullet $ Patrick Cheridito, Arnulf Jentzen, and Florian Rossmannek. Efficient approximation of high-dimensional functions with neural networks. IEEE Trans. Neural Netw. Learn. Syst., 33(7):3079–3093, July 2022. doi:10.1109/TNNLS.2021.3049719.

    $\bullet $ Patrick Cheridito, Arnulf Jentzen, and Florian Rossmannek. Landscape analysis for shallow neural networks: Complete classification of critical points for affine target functions. J. Nonlinear Sci., 32(5):64, July 2022. doi:10.1007/s00332-022-09823-8.

    $\bullet $ Lukas Gonon, Philipp Grohs, Arnulf Jentzen, David Kofler, and David Šiška. Uniform error estimates for artificial neural network approximations for heat equations. IMA J. Numer. Anal., 42(3):1991–2054, July 2022. doi:10.1093/imanum/drab027.

    $\bullet $ Michael Goldman and Martin Huesmann. A fluctuation result for the displacement in the optimal matching problem. Ann. Probab., 50(4):1446–1477, July 2022. doi:10.1214/21-AOP1562.

    $\bullet $ Arnulf Jentzen, Benno Kuckuck, Thomas Müller-Gronbach, and Larisa Yaroslavtseva. Counterexamples to local Lipschitz and local Hölder continuity with respect to the initial values for additive noise driven stochastic differential equations with smooth drift coefficient functions with at most polynomially growing derivatives. Discrete Contin. Din. Syst. Ser. B, 27(7):3707, July 2022. doi:10.3934/dcdsb.2021203.

    $\bullet $ Mariam Beriashvili and Ralf Schindler. Mazurkiewicz sets with no well-ordering of the reals. Georgian Math. J., 29(3):343–345, June 2022. doi:10.1515/gmj-2022-2142.

    $\bullet $ Christian Beck, Arnulf Jentzen, and Benno Kuckuck. Full error analysis for the training of deep neural networks. Infin. Dimens. Anal. Quantum Probab. Relat. Top., 25(02):2150020, June 2022. doi:10.1142/S021902572150020X.

    $\bullet $ Paul Striewski and Benedikt Wirth. Elastic 3D2D image registration. J. Math. Imaging Vis., 64(5):443–462, June 2022.

    $\bullet $ Chiranjib Mukherjee. Central limit theorem for Gibbs measures on path spaces including long range and singular interactions and homogenization of the stochastic heat equation. Ann. Appl. Probab., 32(3):2028–2062, June 2022. doi:10.1214/21-AAP1727.

    $\bullet $ Thomas Godland and Zakhar Kabluchko. Conic intrinsic volumes of Weyl chambers. Mod. Stoch.: Theory Appl., 9(3):357–375, June 2022. doi:10.15559/22-VMSTA206.

    $\bullet $ Anna Siffert and Jan Wuzyk. A family of free boundary minimal surfaces in the unit ball. J. Geom. Anal., 32(8):215, June 2022. doi:10.1007/s12220-022-00957-5.

    $\bullet $ Ralf Schindler and Trevor M. Wilson. The consistency strength of the perfect set property for universally Baire sets of reals. J. Symb. Log., 87(2):508–526, June 2022. doi:10.1017/jsl.2019.63.

    $\bullet $ Stephan Luckhaus and Konstantinos Zemas. Rigidity estimates for isometric and conformal maps from $S(n - 1)$ to $\mathbb R^n$. Invent. Math., June 2022. doi:10.1007/s00222-022-01128-7.

    $\bullet $ Andrea Bianchi, Florian Kranhold, and Jens Reinhold. Parametrised moduli spaces of surfaces as infinite loop spaces. Forum of Mathematics, Sigma, 10:e39, June 2022. doi:10.1017/fms.2022.29.

    $\bullet $ Christoph Böhm and Ramiro A. Lafuente. Homogeneous Einstein metrics on Euclidean spaces are Einstein solvmanifolds. Geom. Topol., 26(2):899–936, June 2022. doi:10.2140/gt.2022.26.899.

    $\bullet $ Stefan Hoffelner. Forcing the $\Sigma ^1_3$-separation property. J. Math. Log., 0(0):2250008, June 2022. doi:10.1142/S0219061322500088.

    $\bullet $ Silke Meissner and Martin Otto. A first-order framework for inquisitive modal logic. Rev. Symb. Log., 15(2):311–333, June 2022. doi:10.1017/S175502032100037X.

    $\bullet $ Thomas Godland and Zakhar Kabluchko. Positive hulls of random walks and bridges. Stoch. Process. Their Appl., 147:327–362, May 2022. doi:10.1016/j.spa.2022.01.019.

    $\bullet $ Jonas Potthoff and Benedikt Wirth. Optimal fine-scale structures in compliance minimization for a uniaxial load in three space dimensions. ESAIM: Control Optim. Calc. Var., 28:27, May 2022. doi:10.1051/cocv/2022023.

    $\bullet $ Zakhar Kabluchko and Alexander Marynych. Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks. Probab. Theory Relat. Fields, May 2022. doi:10.1007/s00440-022-01146-9.

    $\bullet $ Farmer Schlutzenberg. Choice principles in local mantles. Math. Log. Q., 68(3):264–278, May 2022. doi:10.1002/malq.202000089.

    $\bullet $ Timo Richarz and Jakob Scholbach. The motivic Satake equivalence and a question about the Drinfeld lemma. In Algebraic K-Theory, pages 37–40. May 2022. doi:0.4171/OWR/2022/24.

    $\bullet $ Stefano Ceci and Christian Seis. On the dynamics of point vortices for the two-dimensional Euler equation with $L^p$ vorticity. Philos. Trans. Royal Soc. A, 380(2226):20210046, May 2022. doi:10.1098/rsta.2021.0046.

    $\bullet $ Thomas Godland, Zakhar Kabluchko, and Christoph Thäle. Random cones in high dimensions II: Weyl cones. Mathematika, 68(3):710–737, April 2022. doi:10.1112/mtk.12136.

    $\bullet $ Jins de Jong, Alexander Hock, and Raimar Wulkenhaar. Nested Catalan tables and a recurrence relation in noncommutative quantum field theory. Ann. Inst. Henri Poincaré D, 9(1):47–72, April 2022. doi:10.4171/aihpd/113.

    $\bullet $ Chiranjib Mukherjee and S. R. S. Varadhan. Corrigendum and addendum: Identification of the Polaron measure I: Fixed coupling regime and the central limit theorem for large times. Comm. Pure Appl. Math., 75(7):1642–1653, April 2022. doi:10.1002/cpa.22052.

    $\bullet $ Zakhar Kabluchko and Hauke Seidel. Convex cones spanned by regular polytopes. Adv. Geom., 22(2):245–267, April 2022. doi:10.1515/advgeom-2021-0041.

    $\bullet $ Arthur Bartels, Christopher L. Douglas, and André Henriques. Conformal nets V: Dualizability. Comm. Math. Phys., 391(1):1–31, April 2022. doi:10.1007/s00220-021-04212-w.

    $\bullet $ André Nies, Philipp Schlicht, and Katrin Tent. Coarse groups, and the isomorphism problem for oligomorphic groups. J. Math. Log., 22(01):2150029, April 2022. doi:10.1142/S021906132150029X.

    $\bullet $ Filippo Cagnetti, Gianni Dal Maso, Lucia Scardia, and Caterina Ida Zeppieri. A global method for deterministic and stochastic homogenisation in BV. Ann. PDE, 8(1):8, April 2022. doi:10.1007/s40818-022-00119-4.

    $\bullet $ Urs Hartl and Rajneesh Kumar Singh. A short review on local shtukas and divisible local Anderson modules. In Perfectoid Spaces, Infosys Science Foundation Series, pages 51–68. April 2022. doi:10.1007/978-981-16-7121-0_4.

    $\bullet $ Steffen Dereich and Sebastian Kassing. On minimal representations of shallow ReLU networks. Neural Networks, 148:121–128, April 2022. doi:10.1016/j.neunet.2022.01.006.

    $\bullet $ Paolo Aluffi, Leonardo C. Mihalcea, Jörg Schürmann, and Changjian Su. Positivity of Segre-MacPherson classes. In Facets of algebraic geometry. Vol. I, volume 472 of London Math. Soc. Lecture Note Ser., pages 1–28. Cambridge Univ. Press, Cambridge, April 2022. doi:10.1017/9781108877831.001.

    $\bullet $ Tim Keil and Mario Ohlberger. Model reduction for large scale systems. In Large-Scale Scientific Computing, 16–28. March 2022. doi:10.1007/978-3-030-97549-4_2.

    $\bullet $ Asma Hassannezhad and Anna Siffert. Escobar constants of planar domains. Ann. Glob. Anal. Geom., 61(2):215–233, March 2022. doi:10.1007/s10455-021-09805-1.

    $\bullet $ Sarah Scherotzke and Peter Schneider. Derived parabolic induction. Bull. Lond. Math. Soc., 54(1):264–274, March 2022. doi:10.1112/blms.12606.

    $\bullet $ Alexander Iksanov, Zakhar Kabluchko, and Valeriya Kotelnikova. A functional limit theorem for nested Karlin's occupancy scheme generated by discrete Weibull-like distributions. J. Math. Anal. Appl., 507(2):125798, March 2022. doi:10.1016/j.jmaa.2021.125798.

    $\bullet $ Pavel Gavrilenko, Bernard Haasdonk, Oleg Iliev, Mario Ohlberger, Felix Schindler, Pavel Toktaliev, Tizian Wenzel, and Maha Youssef. A full order, reduced order and machine learning model pipeline for efficient prediction of reactive flows. In Large-Scale Scientific Computing, 378–386. March 2022. doi:10.1007/978-3-030-97549-4_43.

    $\bullet $ Carolin Dirks and Benedikt Wirth. An adaptive finite element approach for lifted branched transport problems. In Optimization and control for partial differential equations—uncertainty quantification, open and closed-loop control, and shape optimization, volume 29 of Radon Ser. Comput. Appl. Math., pages 189–236. March 2022. doi:10.1515/9783110695984-009.

    $\bullet $ Peter Petersen and Matthias Wink. Tachibana-type theorems special Holonomy. Ann. Global Anal. Geom., March 2022. doi:10.1007/s10455-022-09837-1.

    $\bullet $ Jonas Hirsch and Konstantinos Zemas. A note on a rigidity estimate for degree $\pm 1$ conformal maps on $\mathbb S^2$. Bull. Lond. Math. Soc., 54(1):256–263, March 2022. doi:10.1112/blms.12591.

    $\bullet $ Rémi Abgrall, Philipp Öffner, and Hendrik Ranocha. Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: Application to structure preserving discretization. Journal of Computational Physics, pages 110955, March 2022. doi:10.1016/j.jcp.2022.110955.

    $\bullet $ Camilla Nobili and Christian Seis. Renormalization and energy conservation for axisymmetric fluid flows. Math. Ann., 382(1):1–36, February 2022. doi:10.1007/s00208-020-02050-0.

    $\bullet $ Jonas Jalowy, Matthias Löwe, and Holger Sambale. Fluctuations of the magnetization in the Block Potts model. J. Stat. Phys., 187(1):3, February 2022. doi:10.1007/s10955-022-02889-4.

    $\bullet $ Zakhar Kabluchko. On expected face numbers of random beta and beta’ polytopes. Beitr. Algebra Geom., February 2022. doi:10.1007/s13366-022-00626-2.

    $\bullet $ Fabiana Castiblanco and Ralf Schindler. When is a real generic over L? Math. Log. Q., 68(1):27–31, February 2022. doi:10.1002/malq.202100012.

    $\bullet $ Laurenţiu G. Maxim and Jörg Schürmann. Constructible sheaf complexes in complex geometry and applications. In Handbook of Geometry and Topology of Singularities III, pages 679–791. February 2022. doi:10.1007/978-3-030-95760-5_10.

    $\bullet $ Sigmundur Gudmundsson, Anna Siffert, and Marko Sobak. Explicit proper $p$-harmonic functions on the Riemannian symmetric spaces SU(n)/SO(n), Sp(n)/U(n), SO(2n)/U(n), SU(2n)/Sp(n). J. Geom. Anal., 32(5):147, February 2022. doi:10.1007/s12220-022-00885-4.

    $\bullet $ Emanuele Dotto, Achim Krause, Thomas Nikolaus, and Irakli Patchkoria. Witt vectors with coefficients and characteristic polynomials over non-commutative rings. Compos. Math., 158(2):366–408, February 2022. doi:10.1112/S0010437X22007254.

    $\bullet $ Farmer Schlutzenberg. Reinhardt cardinals and iterates of V. Ann. Pure Appl. Log., 173(2):103056, February 2022. doi:10.1016/j.apal.2021.103056.

    $\bullet $ Alexander Effland, Behrend Heeren, Martin Rumpf, and Benedikt Wirth. Consistent curvature approximation on Riemannian shape spaces. IMA J. Numer. Anal., 42(1):78–106, January 2022. doi:10.1093/imanum/draa092.

    $\bullet $ Manuel Friedrich and Lennart Machill. Derivation of a one-dimensional von Kármán theory for viscoelastic ribbons. Nonlinear Differ. Equ. Appl., January 2022. doi:10.1007/s00030-021-00745-0.

    $\bullet $ Zakhar Kabluchko and Igor Wigman. Asymptotics for the expected number of nodal components for random lemniscates. Int. Math. Res. Not., 2022(3):2337–2375, January 2022. doi:10.1093/imrn/rnaa146.

    $\bullet $ Thomas Godland, Zakhar Kabluchko, and Christoph Thäle. Random cones in high dimensions I: Donoho-Tanner and Cover-Efron cones. Discret. Anal., January 2022. doi:10.19086/da.36223.

    $\bullet $ Anna Gusakova, Zakhar Kabluchko, and Christoph Thäle. The β-Delaunay tessellation II: The Gaussian limit tessellation. Electron. J. Probab., 27(none):1–33, January 2022. doi:10.1214/22-EJP782.

    $\bullet $ Anna Gusakova, Zakhar Kabluchko, and Christoph Thäle. The β-Delaunay tessellation III: Kendall's problem and limit theorems in high dimensions. Lat. Am. J. Probab. Math. Stat., 19:23–50, January 2022.

    $\bullet $ Eugen Hellmann, Christophe M. Margerin, and Benjamin Schraen. Density of automorphic points in deformation rings of polarized global Galois representations. Duke Math. J., pages 1–54, January 2022. doi:10.1215/00127094-2021-0080.

    $\bullet $ Anna Gusakova, Zakhar Kabluchko, and Christoph Thäle. The β-Delaunay tessellation II: The Gaussian limit tessellation. Electron. J. Probab., 27:1–33, January 2022. doi:10.1214/22-EJP782.

    $\bullet $ Martin Huesmann, Michael Goldman, and Felix Otto. Quantitative linearization results for the Monge-Ampère equation. Comm. Pure Appl. Math., January 2022.

    $\bullet $ Martin Huesmann and Michael Goldman. A fluctuation result for the displacement in the optimal matching problem. Ann. Probab., January 2022.

    $\bullet $ Johannes Ebert. Diffeomorphisms of a disc, glued into a manifold. J. Algebraic Geom. Topol., January 2022.

    $\bullet $ Johannes Ebert and Michael Wiemeler. On the homotopy type of the space of metrics of positive scalar curvature. J. Eur. Math. Soc., January 2022.

    $\bullet $ Linus Kramer. Some remarks on proper actions, proper metric spaces, and buildings. Adv. Geom., January 2022.

    $\bullet $ Karl H. Hofmann and Linus Kramer. On weakly complete universal enveloping algebras: A Poincaré-Birkhoff-Witt theorem. J. Lie Theory, January 2022.

    $\bullet $ Francis Comets, Clément Cosco, and Chiranjib Mukherjee. Space-time fluctuation of the Kardar-Parisi-Zhang equation in $d \ge 3$ and the Gaussian free field. Ann. Henri Poincaré, January 2022.

    $\bullet $ Rodrigo Bazaes, Chiranjib Mukherjee, Alejandro F. Ramírez, and Santiago Saglietti. Quenched and averaged large deviations for random walks in random environments: The impact of disorder. Ann. Appl. Probab., January 2022.

    $\bullet $ Sigmundur Gudmundsson, Marko Sobak, and Anna Siffert. Explicit $p$-harmonic functions on rank-one Lie groups of Iwasawa type. J. Geom. Phys., January 2022.

    $\bullet $ Angela Stevens and M. Winkler. Taxis-driven persistent localizationin a degenerate Keller-Segel system. UNKNOWN!, January 2022.

    $\bullet $ S. Luckhhaus and Angela Stevens. Kermack and McKendrick modelson a two-scale network. UNKNOWN!, January 2022.

    $\bullet $ Hans-Joachim Hein, Song Sun, Jeff Viaclovsky, and Ruobing Zhang. Nilpotent structures and collapsing Ricci-flat metrics on the K3 surface. J. Am. Math. Soc., 35(1):123–209, January 2022. doi:10.1090/jams/978.

    $\bullet $ Katrin Tent and Dan Segal. Defining $R$ and $G(R)$. J. Eur. Math. Soc., January 2022.

    $\bullet $ Katrin Tent and Tim Clausen. Mock hyperbolic reflection spaces and Frobenius groups of finite Morley rank. Special Issue of Model Theory dedicated to Ehud Hrushovski, January 2022.

    $\bullet $ Katrin Tent and Aristotelis Panagiotopoulos. Universality vs. genericity and $C_4$-free graphs. Eur. J. Comb, January 2022.

    $\bullet $ Michael Wiemeler and Johannes Ebert. On the homotopy type of the space of metrics of positive scalar curvature. J. Eur. Math. Soc., January 2022.

    $\bullet $ Michael Weiss. Rational Pontryagin classes of Euclidean fiber bundles. J. Geom. Topol, 25(7):3351––3424, January 2022. doi:10.2140/gt.2021.25.3351.

    $\bullet $ Rudolf Zeidler. Band width estimates via the Dirac operator. J. Diff. Geom., January 2022.

    $\bullet $ Cecchini and Rudolf Zeidler. Scalar and mean curvature comparison via the Dirac operator. Geom. Topol., January 2022.

    $\bullet $ Gerold Alsmeyer and Bastien Mallein. A simple method to find all solutions to the functional equation of the smoothing transform. J. Theor. Probab., January 2022. doi:10.1007/s10959-021-01151-z.

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    2021

    $\bullet $ Joachim Lohkamp. Potential theory on minimal hypersurfaces II: Hardy structures and Schrödinger operators. Potential Anal., 55(4):563–602, December 2021. doi:10.1007/s11118-020-09869-x.

    $\bullet $ Tim de Laat and Timo Siebenand. Exotic group $C^*$-algebras of simple Lie groups with real rank one. Ann. Inst. Fourier, 71(5):2117–2136, December 2021. doi:10.5802/aif.3441.

    $\bullet $ Weinan E, Jiequn Han, and Arnulf Jentzen. Algorithms for solving high dimensional PDEs: From nonlinear Monte Carlo to machine learning. Nonlinearity, 35(1):278–310, December 2021. doi:10.1088/1361-6544/ac337f.

    $\bullet $ Samuel G. G. Johnston, Zakhar Kabluchko, and Joscha Prochno. Projections of the uniform distribution on the cube: A large deviation perspective. Studia Math., 264:103–119, December 2021. doi:10.4064/sm210413-16-9.

    $\bullet $ Zakhar Kabluchko. Recursive Scheme for Angles of Random Simplices, and Applications to Random Polytopes. Discrete Comput. Geom., 66(3):902–937, December 2021. doi:10.1007/s00454-020-00259-z.

    $\bullet $ Zakhar Kabluchko, Daniel Temesvari, and Christoph Thäle. A new approach to weak convergence of random cones and polytopes. Canad. J. Math., 73(6):1627–1647, December 2021. doi:10.4153/S0008414X20000620.

    $\bullet $ Tobias Leibner and Mario Ohlberger. A new entropy-variable-based discretization method for minimum entropy moment approximations of linear kinetic equations. ESAIM: Math. Model. Numer. Anal., 55(6):2567–2608, November 2021. doi:10.1051/m2an/2021065.

    $\bullet $ Zakhar Kabluchko, Matthias Löwe, and Kristina Schubert. Fluctuations for the partition function of Ising models on Erdös–nyi random graphs. Ann. Inst. Henri Poincaré Probab. Stat., 57(4):2017–2042, November 2021. doi:10.1214/20-aihp1137.

    $\bullet $ Weinan E, Martin Hutzenthaler, Arnulf Jentzen, and Thomas Kruse. Multilevel Picard iterations for solving smooth semilinear parabolic heat equations. Partial Differ. Equ. Appl., 2:Paper No. 80, November 2021. doi:10.1007/s42985-021-00089-5.

    $\bullet $ Ladislas Naurois, Arnulf Jentzen, and Timo Welti. Weak convergence rates for spatial spectral Galerkin approximations of semilinear stochastic wave equations with multiplicative noise. Appl. Math. Optim., 84:1187–1217, November 2021. doi:10.1007/s00245-020-09744-6.

    $\bullet $ Manuel Friedrich, Martin Kružík, and Ulisse Stefanelli. Equilibrium of immersed hyperelastic solids. Discrete Contin. Din. Syst. Ser. S, 14(11):4141, November 2021. doi:10.3934/dcdss.2021003.

    $\bullet $ Giles Gardam. A counterexample to the unit conjecture for group rings. Annals of Mathematics, 194(3):967–979, November 2021. doi:10.4007/annals.2021.194.3.9.

    $\bullet $ Becky Armstrong, Gilles G. de Castro, Lisa Orloff Clark, Kristin Courtney, Ying-Fen Lin, Kathryn McCormick, Jacqui Ramagge, Aidan Sims, and Benjamin Steinberg. Reconstruction of twisted Steinberg algebras. International Mathematics Research Notices, November 2021. doi:10.1093/imrn/rnab291.

    $\bullet $ Zakhar Kabluchko. Recursive scheme for angles of random simplices, and applications to random polytopes. Discret. Comp. Geom., 66(3):902–937, October 2021. doi:10.1007/s00454-020-00259-z.

    $\bullet $ Zhizhang Xie, Guoliang Yu, and Rudolf Zeidler. On the range of the relative higher index and the higher rho-invariant for positive scalar curvature. Adv. Math., 390:Paper No. 107897, 24, October 2021. doi:10.1016/j.aim.2021.107897.

    $\bullet $ Fernando Abadie, Eusebio Gardella, and Shirly Geffen. Decomposable partial actions. J. Funct. Anal., 281(7):109112, October 2021. doi:10.1016/j.jfa.2021.109112.

    $\bullet $ Arnulf Jentzen, Benno Kuckuck, Thomas Müller-Gronbach, and Larisa Yaroslavtseva. On the strong regularity of degenerate additive noise driven stochastic differential equations with respect to their initial values. J. Math. Anal. Appl., 502(2):125240, October 2021. doi:10.1016/j.jmaa.2021.125240.

    $\bullet $ Arnd Scheel and Angela Stevens. Regeneration of tissue: Lessons learned from flatworms. SIAM News, October 2021.

    $\bullet $ Claudius Heyer. Parabolic induction via the parabolic pro-p Iwahori-Hecke algebra. Representation theory, 25:807–843, October 2021. doi:10.1090/ert/585.

    $\bullet $ Romain Pascalie, Carlos I. Pérez-Sánchez, and Raimar Wulkenhaar. Correlation functions of U($N$)-tensor models and their Schwinger–Dyson equations. Ann. Inst. Henri Poincaré D, 8(3):377–458, September 2021. doi:10.4171/aihpd/107.

    $\bullet $ Henrik Matthiesen and Anna Siffert. Existence of metrics maximizing the first eigenvalue on non-orientable surfaces. J. Spectr. Theory, 11(3):1279–1296, September 2021. doi:10.4171/jst/372.

    $\bullet $ Arnulf Jentzen, Felix Lindner, and Primož Pušnik. Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise. Nonlinear Anal., 210:112310, September 2021. doi:10.1016/j.na.2021.112310.

    $\bullet $ Oliver Goertsches and Michael Wiemeler. Non-negatively curved GKM orbifolds. Mathematische Zeitschrift, September 2021. doi:10.1007/s00209-021-02853-0.

    $\bullet $ Christian Beck, Lukas Gonon, Martin Hutzenthaler, and Arnulf Jentzen. On existence and uniqueness properties for solutions of stochastic fixed point equations. Discrete Contin. Dyn. Syst. – B, 26(9):4927–4962, September 2021. doi:10.3934/dcdsb.2020320.

    $\bullet $ Christian Beck, Sebastian Becker, Patrick Cheridito, Arnulf Jentzen, and Ariel Neufeld. Deep splitting method for parabolic PDEs. SIAM J. Sci. Comput., 43(5):A3135–A3154, September 2021. doi:10.1137/19M1297919.

    $\bullet $ Johannes Branahl, Alexander Hock, and Raimar Wulkenhaar. Perturbative and geometric analysis of the quartic Kontsevich model. SIGMA Symmetry Integrability Geom. Methods Appl., 17:Paper No. 085, 33, September 2021. doi:10.3842/SIGMA.2021.085.

    $\bullet $ Georg Frenck. $H$-space structures on spaces of metrics of positive scalar curvature. Transactions of the American Mathematical Society, September 2021. doi:10.1090/tran/8505.

    $\bullet $ Petar Mlinarić, Stephan Rave, and Jens Saak. Parametric model order reduction using pyMOR. In Model Reduction of Complex Dynamical Systems, volume 171 of International Series of Numerical Mathematics, pages 357–367. August 2021. doi:10.1007/978-3-030-72983-7_17.

    $\bullet $ Andre Nies, Dan Segal, and Katrin Tent. Finite axiomatizability for profinite groups. Proc. Lond. Math. Soc., 123(6):597–635, August 2021. doi:10.1112/plms.12420.

    $\bullet $ Martin Nitsche, Thomas Schick, and Rudolf Zeidler. Transfer maps in generalized group homology via submanifolds. Doc. Math., 26:947–979, August 2021. doi:10.15388/namc.2021.26.24502.

    $\bullet $ Matthias Löwe and Sara Terveer. A central limit theorem for incomplete $U$-statistics over triangular arrays. Braz. J. Probab. Stat., 35(3):499–522, August 2021. doi:10.1214/20-BJPS492.

    $\bullet $ Zakhar Kabluchko, Joscha Prochno, and Christoph Thäle. A new look at random projections of the cube and general product measures. Bernoulli, 27(3):2117–2138, August 2021. doi:10.3150/20-bej1303.

    $\bullet $ Hendrik Ranocha. SummationByPartsOperators.jl: A Julia library of provably stable discretization techniques with mimetic properties. Journal of Open Source Software, 6(64):3454, August 2021. doi:10.21105/joss.03454.

    $\bullet $ Kristin E. Courtney. Universal $C^*$-algebras with the local lifting property. Math. Scand., 127(2):361–381, August 2021. doi:10.7146/math.scand.a-126018.

    $\bullet $ Gabriel Fernandes and Ralf Schindler. Tall cardinals in extender models. Notre Dame J. Form. Log., 62(3):425–454, August 2021. doi:10.1215/00294527-2021-0023.

    $\bullet $ Filippo Calderoni, Aleksandra Kwiatkowska, and Katrin Tent. Simplicity of the automorphism groups of order and tournament expansions of homogeneous structures. J. Algebra, 580:43–62, August 2021. doi:10.1016/j.jalgebra.2021.03.028.

    $\bullet $ Christian Engwer, Iuliu Sorin Pop, and Thomas Wick. Dynamic and weighted stabilizations of the $L$-scheme applied to a phase-field model for fracture propagation. In Numerical Mathematics and Advanced Applications ENUMATH 2019, Lecture Notes in Computational Science and Engineering, 1177–1184. August 2021. doi:10.1007/978-3-030-55874-1_117.

    $\bullet $ Nils-Arne Dreier and Christian Engwer. Strategies for the vectorized Block Conjugate Gradients method. In Numerical Mathematics and Advanced Applications ENUMATH 2019, Lecture Notes in Computational Science and Engineering, 381–388. August 2021. doi:10.1007/978-3-030-55874-1_37.

    $\bullet $ Christian Engwer and Sebastian Westerheide. An unfitted dG scheme for coupled bulk-surface PDEs on complex geometries. Comp. Appl. Math., 21(3):569–591, July 2021. doi:10.1515/cmam-2020-0056.

    $\bullet $ Zakhar Kabluchko and Christoph Thäle. The typical cell of a Voronoi tessellation on the sphere. Discrete Comput. Geom., 66(4):1330–1350, July 2021. doi:10.1007/s00454-021-00315-2.

    $\bullet $ Christian Beck, Martin Hutzenthaler, and Arnulf Jentzen. On nonlinear Feynman-Kac formulas for viscosity solutions of semilinear parabolic partial differential equations. Stoch. Dyn., 21(8):2150048, July 2021. doi:10.1142/S0219493721500489.

    $\bullet $ Arnulf Jentzen, Diyora Salimova, and Timo Welti. A proof that deep artificial neural networks overcome the curse of dimensionality in the numerical approximation of Kolmogorov partial differential equations with constant diffusion and nonlinear drift coefficients. Commun. Math. Sci., 19(5):1167–1205, July 2021. doi:10.4310/CMS.2021.v19.n5.a1.

    $\bullet $ Katharina Ostaszewski, Karl-Heinz Glassmeier, Charlotte Goetz, Philip Heinisch, Pierre Henri, Sang A. Park, Hendrik Ranocha, Ingo Richter, Martin Rubin, and Bruce Tsurutani. Steepening of magnetosonic waves in the inner coma of comet 67P/Churyumov–Gerasimenko. Annales Geophysicae, 39(4):721–742, July 2021. doi:10.5194/angeo-39-721-2021.

    $\bullet $ Shirly Geffen. Nuclear dimension of crossed products associated to partial dynamical systems. J. Funct. Anal., 281(2):109031, July 2021. doi:10.1016/j.jfa.2021.109031.

    $\bullet $ Hans-Joachim Hein, Rares Rasdeaconu, and Ioana Suvaina. On the classification of ALE Kähler manifolds. International Mathematics Research Notices, 2021(14):10957–10980, July 2021. doi:10.1093/imrn/rnz376.

    $\bullet $ Thomas Godland and Zakhar Kabluchko. Conical tessellations associated with Weyl chambers. Trans. Amer. Math. Soc., 374(10):7161–7196, July 2021. doi:10.1090/tran/8445.

    $\bullet $ Urs Hartl and Eva Viehmann. The generic fibre of moduli spaces of bounded local $G$-shtukas. Journal of the Institute of Mathematics of Jussieu, pages 1–80, July 2021. doi:10.1017/S1474748021000293.

    $\bullet $ Marco Cicalese, Matteo Focardi, and Caterina Ida Zeppieri. Phase-field approximation of functionals defined on piecewise-rigid maps. J. Nonlinear Sci., 31(5):Paper No. 78, 25, July 2021. doi:10.1007/s00332-021-09733-1.

    $\bullet $ Gilles Bonnet, Zakhar Kabluchko, and Nicola Turchi. Phase transition for the volume of high-dimensional random polytopes. Random Structures Algorithms, 58(4):648–663, July 2021. doi:10.1002/rsa.20986.

    $\bullet $ Christian Beck, Sebastian Becker, Philipp Grohs, Nor Jaafari, and Arnulf Jentzen. Solving the Kolmogorov PDE by means of deep learning. J. Sci. Comput., 88(3):Paper No. 73, 28, July 2021. doi:10.1007/s10915-021-01590-0.

    $\bullet $ Becky Armstrong, Lisa Orloff Clark, Kristin Courtney, Ying-Fen Lin, Kathryn McCormick, and Jacqui Ramagge. Twisted Steinberg algebras. J. Pure Appl. Algebra, 226(3):Paper No. 106853, 33, July 2021. URL: https://doi.org/10.1016/j.jpaa.2021.106853, doi:10.1016/j.jpaa.2021.106853.

    $\bullet $ Alexander Engel, Christopher Wulff, and Rudolf Zeidler. Slant products on the Higson–Roe exact sequence. Ann. Inst. Fourier, 71(3):913–1021, June 2021. doi:10.5802/aif.3406.

    $\bullet $ Timo Richarz and Jakob Scholbach. Tate motives on Witt vector affine flag varieties. Selecta Math. (N.S.), 27(3):Paper No. 44, 34, June 2021. doi:10.1007/s00029-021-00665-y.

    $\bullet $ Sigmundur Gudmundsson, Anna Siffert, and Marko Sobak. Explicit $p$-harmonic functions on rank-one Lie groups of Iwasawa type. J. Geom. Phys., 164:Paper No. 104205, 16, June 2021. doi:10.1016/j.geomphys.2021.104205.

    $\bullet $ Patrick Cheridito, Arnulf Jentzen, and Florian Rossmannek. Non-convergence of stochastic gradient descent in the training of deep neural networks. J. Complex., 64:101540, June 2021. doi:10.1016/j.jco.2020.101540.

    $\bullet $ Sophie Schrader, Andreas Westhoff, Maria Carla Piastra, Tuuli Miinalainen, Sampsa Pursiainen, Johannes Vorwerk, Heinrich Brinck, Carsten H. Wolters, and Christian Engwer. DUNEuro-A software toolbox for forward modeling in bioelectromagnetism. PLoS ONE, 16(6):e0252431, June 2021. doi:10.1371/journal.pone.0252431.

    $\bullet $ Juliane Braunsmann, Marko Rajković, Martin Rumpf, and Benedikt Wirth. Learning low bending and low distortion manifold embeddings. In 2021 IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops (CVPRW), 4411–4419. June 2021. doi:10.1109/CVPRW53098.2021.00498.

    $\bullet $ Arnd Scheel, Angela Stevens, and Christoph Tenbrock. Signaling gradients in surface dynamics as basis for planarian regeneration. Journal of Mathematical Biology, June 2021. doi:10.1007/s00285-021-01627-w.

    $\bullet $ Hendrik Ranocha and Gregor J. Gassner. Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes. Communications on Applied Mathematics and Computation, June 2021. doi:10.1007/s42967-021-00148-z.

    $\bullet $ Sebastian Becker, Patrick Cheridito, Arnulf Jentzen, and Timo Welti. Solving high-dimensional optimal stopping problems using deep learning. European J. Appl. Math., 32:470–514, June 2021. doi:10.1017/S0956792521000073.

    $\bullet $ Bachir Bekka and Siegfried Echterhoff. On unitary representations of algebraic groups over local fields. Representation Theory, 25:508–526, June 2021. doi:10.1090/ert/574.

    $\bullet $ Martin Bays and Emmanuel Breuillard. Projective geometries arising from Elekes-Szabó problems. Ann. Sci. Éc. Norm. Supér., 54(3):627–681, May 2021. doi:10.24033/asens.2467.

    $\bullet $ Timo Richarz and Jakob Scholbach. The motivic Satake equivalence. Math. Ann., 380(3-4):1595–1653, May 2021. doi:10.1007/s00208-021-02176-9.

    $\bullet $ Holger Knöpfel, Matthias Löwe, and Holger Sambale. Large deviations, a phase transition, and logarithmic Sobolev inequalities in the block spin Potts model. Electron. Commun. Probab., 26:Paper No. 29, 14, May 2021. doi:10.1214/21-ecp397.

    $\bullet $ Johannes Thürigen. Renormalization in combinatorially non-local field theories: the Hopf algebra of 2-graphs. Mathematical Physics, Analysis and Geometry, 24(2):19, May 2021. doi:10.1007/s11040-021-09390-6.

    $\bullet $ Christian Seis and Dominik Winkler. A well-posedness result for a system of cross-diffusion equations. Journal of Evolution Equations, 21(2):2471–2489, May 2021. doi:10.1007/s00028-021-00690-6.

    $\bullet $ Michael Schlottke-Lakemper, Andrew R. Winters, Hendrik Ranocha, and Gregor J. Gassner. A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics. Journal of Computational Physics, 442:110467, May 2021. doi:10.1016/j.jcp.2021.110467.

    $\bullet $ André Schlichting and Christian Seis. The Scharfetter–Gummel scheme for aggregation–diffusion equations. IMA Journal of Numerical Analysis, May 2021. doi:10.1093/imanum/drab039.

    $\bullet $ Michael Goldman, Martin Huesmann, and Felix Otto. Quantitative linearization results for the Monge-Ampère equation. Communications on Pure and Applied Mathematics, 74(12):2483–2560, May 2021. doi:10.1002/cpa.21994.

    $\bullet $ Dennis Elbrächter, Philipp Grohs, Arnulf Jentzen, and Christoph Schwab. DNN expression rate analysis of high-dimensional PDEs: Application to option pricing. Constr. Approx., May 2021. doi:10.1007/s00365-021-09541-6.

    $\bullet $ Helena J Nussenzveig Lopes, Christian Seis, and Emil Wiedemann. On the vanishing viscosity limit for 2D incompressible flows with unbounded vorticity. Nonlinearity, 34(5):3112–3121, May 2021. doi:10.1088/1361-6544/abe51f.

    $\bullet $ David Kerr and Hanfeng Li. Entropy, Shannon orbit equivalence, and sparse connectivity. Mathematische Annalen, 380(3):1497–1562, May 2021. doi:10.1007/s00208-021-02190-x.

    $\bullet $ Tim Keil, Luca Mechelli, Mario Ohlberger, Felix Schindler, and Stefan Volkwein. A non-conforming dual approach for adaptive Trust-Region reduced basis approximation of PDE-constrained parameter optimization. ESAIM: M2AN, 55(3):1239–1269, May 2021. doi:10.1051/m2an/2021019.

    $\bullet $ Ilijas Farah, Bradd Hart, Martino Lupini, Leonel Robert, Aaron Tikuisis, Alessandro Vignati, and Wilhelm Winter. Model theory of $\rm C^*$-algebras. Memoirs of the American Mathematical Society, 271(1324):viii+127, May 2021. doi:10.1090/memo/1324.

    $\bullet $ Stefano Ceci and Christian Seis. Vortex dynamics for 2D Euler flows with unbounded vorticity. Rev. Mat. Iberoam., 37(5):1969–1990, May 2021. doi:10.4171/rmi/1255.

    $\bullet $ David Asperó and Ralf Schindler. Martin's Maximum++ implies Woodin's axiom (∗). Annals of Mathematics, 193(3):793–835, May 2021. doi:10.4007/annals.2021.193.3.3.

    $\bullet $ Edward L. Green, Lutz Hille, and Sibylle Schroll. Algebras and varieties. Algebras Represent. Theory, 24(2):367–388, April 2021. doi:10.1007/s10468-020-09951-3.

    $\bullet $ Farmer Schlutzenberg. Iterability for (transfinite) stacks. Journal of Mathematical Logic, 21(02):2150008, April 2021. doi:10.1142/S0219061321500082.

    $\bullet $ Dimitrios Mitsotakis, Hendrik Ranocha, David I. Ketcheson, and Endre Süli. A conservative fully discrete numerical method for the regularized shallow water wave equations. SIAM Journal on Scientific Computing, 43(2):B508–B537, April 2021. doi:10.1137/20M1364606.

    $\bullet $ Philippe G. LeFloch and Hendrik Ranocha. Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts. Journal of Scientific Computing, 87(2):55, April 2021. doi:10.1007/s10915-021-01463-6.

    $\bullet $ Manuel Friedrich, Matteo Perugini, and Francesco Solombrino. Lower semicontinuity for functionals defined on piecewise rigid functions and on GSBD. Journal of Functional Analysis, April 2021. doi:10.1016/j.jfa.2021.108929.

    $\bullet $ Jörg Fehr, Christian Himpe, Stephan Rave, and Jens Saak. Sustainable research software hand-over. Journal of Open Research Software, April 2021. doi:10.5334/jors.307.

    $\bullet $ Jorge Castillejos, Samuel Evington, Aaron Tikuisis, Stuart White, and Wilhelm Winter. Nuclear dimension of simple C$^*$-algebras. Inventiones mathematicae, 224(1):245–290, April 2021. doi:10.1007/s00222-020-01013-1.

    $\bullet $ Eva Viehmann. Minimal Newton strata in Iwahori double cosets. Int. Math. Res. Not., 2021(7):5349–5365, March 2021. doi:10.1093/imrn/rnz351.

    $\bullet $ Manuel Friedrich, Leonard Kreutz, and Bernd Schmidt. Emergence of rigid polycrystals from atomistic systems with Heitmann-Radin sticky disk energy. Arch. Ration. Mech. Anal., 240(2):627–698, March 2021. doi:10.1007/s00205-021-01615-w.

    $\bullet $ Hendrik Ranocha and Jan Nordström. A new class of a stable summation by parts time integration schemes with strong initial conditions. Journal of Scientific Computing, 87(1):33, March 2021. doi:10.1007/s10915-021-01454-7.

    $\bullet $ Andreas G.A. Pithis and Johannes Thürigen. (No) phase transition in tensorial group field theory. Physics Letters B, 816:136215, March 2021. doi:10.1016/j.physletb.2021.136215.

    $\bullet $ Maree Jaramillo, Raquel Perales, Priyanko Rajan, Catherine Searle, and Anna Siffert. Alexandrov spaces with integral current structure. Comm. Anal. Geom., 29(1):115–149, March 2021. doi:10.4310/CAG.2021.v29.n1.a4.

    $\bullet $ Zakhar Kabluchko and Joscha Prochno. The maximum entropy principle and volumetric properties of Orlicz balls. Journal of Mathematical Analysis and Applications, March 2021. doi:10.1016/j.jmaa.2020.124687.

    $\bullet $ Zakhar Kabluchko. Angles of random simplices and face numbers of random polytopes. Advances in Mathematics, March 2021. doi:10.1016/j.aim.2021.107612.

    $\bullet $ Fabian Hebestreit, Markus Land, and Thomas Nikolaus. On the homotopy type of L-spectra of the integers. J. Topol., 14(1):183–214, March 2021. doi:10.1112/topo.12180.

    $\bullet $ Vicent Gripon, Matthias Löwe, and Franck Vermet. Some remarks on replicated simulated annealing. J. Stat. Phys., 182(3):Paper No. 51, 22, March 2021. doi:10.1007/s10955-021-02727-z.

    $\bullet $ Antonio Esposito, Francesco S. Patacchini, André Schlichting, and Dejan Slepcev. Nonlocal-interaction equation on graphs: gradient flow structure and continuum limit. Archive for Rational Mechanics and Analysis, 240(2):699–760, March 2021. doi:10.1007/s00205-021-01631-w.

    $\bullet $ Constantin Eichenberg and André Schlichting. Self-similar behavior of the exchange-driven growth model with product kernel. Communications in Partial Differential Equations, 46(3):498–546, March 2021. doi:10.1080/03605302.2020.1845205.

    $\bullet $ Johannes Ebert and Georg Frenck. The gromov-lawson-chernysh surgery theorem. Boletín de la Sociedad Matemática Mexicana, 27(2):37, March 2021. doi:10.1007/s40590-021-00310-w.

    $\bullet $ Steven Duplij and Wend Werner. Structure of unital 3-fields. Mathematische Semesterberichte, 68(1):27–53, March 2021. doi:10.1007/s00591-020-00285-1.

    $\bullet $ Beatrice Acciaio, Alexander M. G. Cox, and Martin Huesmann. Model-independent pricing with insider information: a Skorokhod embedding approach. Adv. in Appl. Probab., 53(1):30–56, March 2021. doi:10.1017/apr.2020.50.

    $\bullet $ Mark Blume and Lutz Hille. Quivers and moduli spaces of pointed curves of genus zero. Algebraic Comb., 4(1):89–124, February 2021. doi:10.5802/alco.152.

    $\bullet $ Tim de Laat and Mikael de la Salle. Banach space actions and L2-spectral gap. Anal. PDE, 14(1):45–76, February 2021. doi:10.2140/apde.2021.14.45.

    $\bullet $ Hannes Thiel. The generator rank of $C^\ast $-algebras. Journal of Functional Analysis, 280(4):108874, 34, February 2021. doi:10.1016/j.jfa.2020.108874.

    $\bullet $ Takfarinas Medani, Juan Garcia-Prieto, Francois Tadel, Sophie Schrader, Marios Antonakakis, Anand Joshi, Christian Engwer, Carsten H. Wolters, John C. Mosher, and Richard M. Leahy. Realistic head modeling of electromagnetic brain activity: an integrated Brainstorm-DUNEuro pipeline from MRI data to the FEM solutions. In Hilde Bosmans, Wei Zhao, and Lifeng Yu, editors, Medical Imaging 2021: Physics of Medical Imaging, volume 11595, 1321 – 1328. International Society for Optics and Photonics, February 2021. doi:10.1117/12.2580935.

    $\bullet $ Eusebio Gardella, Ilan Hirshberg, and Luis Santiago. Rokhlin dimension: duality, tracial properties, and crossed products. Ergodic Theory and Dynamical Systems, 41(2):408–460, February 2021. doi:10.1017/etds.2019.68.

    $\bullet $ Maike E. E. Frantzen. Non-openness of v-adic Galois representation for A-motives. International Journal of Number Theory, 17(1):33–53, February 2021. doi:10.1142/S1793042121500032.

    $\bullet $ Carolin Dirks, Paul Striewski, Benedikt Wirth, Anne Aalto, and Adan Olguin-Olguin. A mathematical model for bleb regulation in zebrafish primordial germ cells. Mathematical Medicine and Biology: A Journal of the IMA, February 2021. doi:10.1093/imammb/dqab002.

    $\bullet $ Steffen Dereich. General multilevel adaptations for stochastic approximation algorithms II: CLTs. Stochastic Processes and their Applications, 132:226–260, February 2021. doi:10.1016/j.spa.2020.11.001.

    $\bullet $ Christian Clason, Dirk A. Lorenz, Hinrich Mahler, and Benedikt Wirth. Entropic regularization of continuous optimal transport problems. Journal of Mathematical Analysis and Applications, 494(1):124432, 22, February 2021. doi:10.1016/j.jmaa.2020.124432.

    $\bullet $ Michael Ben-Zvi and Robert Kropholler. Right-angled artin group boundaries. Proceedings of the American Mathematical Society, 149(2):555–567, February 2021. doi:10.1090/proc/15261.

    $\bullet $ Jonas Jalowy and Matthias Löwe. Reconstructing a recurrent random environment from a single trajectory of a random walk in random environment with errors. Electron. Commun. Probab., 26(none):1–12, January 2021. doi:10.1214/21-ECP425.

    $\bullet $ Sigmundur Gudmundsson and Anna Siffert. New biharmonic functions on the compact Lie groups SO(n), SU(n), Sp(n). J. Geom. Anal., 31(1):250–281, January 2021. doi:10.1007/s12220-019-00259-3.

    $\bullet $ Christian Engwer and Michael Wenske. Estimating the extent of glioblastoma invasion. J. Math. Biol., 82(1):10, January 2021. doi:10.1007/s00285-021-01563-9.

    $\bullet $ Alcides Buss, Siegfried Echterhoff, and Rufus Willett. Erratum to: "the minimal exact crossed product". Doc. Math., 26:1629–1632, January 2021. doi:10.25537/dm.2021v26.1629-1632.

    $\bullet $ Vladimir Kanovei and Ralf Schindler. Definable Hamel bases and $AC_\omega (\mathbb R)$. Fund. Math., 253(3):239–256, January 2021. doi:10.4064/fm909-6-2020.

    $\bullet $ Zakhar Kabluchko and Christoph Thäle. Faces in random great hypersphere tessellations. Electron. J. Probab., 26:Paper No. 3, 35, January 2021. doi:10.1214/20-ejp570.

    $\bullet $ Florian Streitbürger, Christian Engwer, Sandra May, and Andreas Nüßing. Monotonicity considerations for stabilized DG cut cell schemes for the unsteady advection equation. In Fred J. Vermolen and Cornelis Vuik, editors, Numerical Mathematics and Advanced Applications ENUMATH 2019, 929–937. Springer International Publishing, January 2021.

    $\bullet $ Arnulf Jentzen, Benno Kuckuck, Ariel Neufeld, and Philippe von Wurstemberger. Strong error analysis for stochastic gradient descent optimization algorithms. IMA J. Numer. Anal., 41(1):455–492, January 2021. doi:10.1093/imanum/drz055.

    $\bullet $ Urs Hartl and Rajneesh Kumar Singh. Product formulas for periods of CM abelian varieties and the function field analog. Journal of Number Theory, 218:62–151, January 2021. doi:10.1016/j.jnt.2020.06.017.

    $\bullet $ Matteo. Laudonio, Romain Pascalie, and Adrian Tanasa. Combinatorial aspects of the Sachdev-Ye-Kitaev model. Rom. J. Pure Appl. Math., 66(2):485–522, January 2021.

    $\bullet $ Manuel Friedrich, Martin Kružík, and Jan Valdman. Numerical approximation of von Karman viscoelastic plates. Discrete And Continuous Dynamical Systems - S, 14(1):299–319, January 2021. doi:10.3934/dcdss.2020322.

    $\bullet $ Georg Frenck and Jens Reinhold. Bundles with non-multiplicative Â-genus and spaces of metrics with lower curvature bounds. International Mathematics Research Notices, January 2021. doi:10.1093/imrn/rnaa361.

    $\bullet $ Matthias Erbar, Martin Huesmann, and Thomas Leblé. The one-dimensional log-gas free energy has a unique minimizer. Communications on Pure and Applied Mathematics, 74(3):615–675, January 2021. doi:10.1002/cpa.21977.

    $\bullet $ Nils-Arne Dreier and Christian Engwer. Strategies for the Vectorized Block Conjugate Gradients method. In Fred J. Vermolen and Cornelis Vuik, editors, Numerical Mathematics and Advanced Applications ENUMATH 2019, 381–388. Springer International Publishing, January 2021.

    $\bullet $ Sonja Cox, Martin Hutzenthaler, Arnulf Jentzen, Jan van Neerven, and Timo Welti. Convergence in Hölder norms with applications to Monte Carlo methods in infinite dimensions. IMA Journal of Numerical Analysis, 41(1):493–548, January 2021. doi:10.1093/imanum/drz063.

    $\bullet $ Gregor Corbin, Axel Klar, Christina Surulescu, Christian Engwer, Michael Wenske, Juanjo Nieto, and Juan Soler. Modeling glioma invasion with anisotropy-and hypoxia-triggered motility enhancement: From subcellular dynamics to macroscopic PDEs with multiple taxis. Mathematical Models and Methods in Applied Sciences, January 2021. doi:10.1142/S0218202521500056.

    $\bullet $ Patrick Cheridito, Arnulf Jentzen, Adrian Riekert, and Florian Rossmannek. A proof of convergence for gradient descent in the training of artificial neural networks for constant target functions. J. Complex., January 2021. doi:10.1016/j.jco.2022.101646.

    $\bullet $ Andreas Buhr, Laura Iapichino, Mario Ohlberger, Stephan Rave, Felix Schindler, and Kathrin Smetana. Localized model reduction for parameterized problems. In Model order reduction. Volume 2: Snapshot-based methods and algorithms, pages 245–305. January 2021. doi:10.1515/9783110671490-006.

    $\bullet $ Peter Bastian, Markus Blatt, Andreas Dedner, Nils-Arne Dreier, Christian Engwer, René Fritze, Carsten Gräser, Christoph Grüninger, Dominic Kempf, Robert Klöfkorn, Mario Ohlberger, and Oliver Sander. The DUNE framework: Basic concepts and recent developments. Computers and Mathematics with Applications, 81:75–112, January 2021. doi:10.1016/j.camwa.2020.06.007.

    $\bullet $ Benjamin Antieau and Thomas Nikolaus. Cartier modules and cyclotomic spectra. Journal of the American Mathematical Society, 34(1):1–78, January 2021. doi:10.1090/jams/951.

    $\bullet $ Adam Andersson, Arnulf Jentzen, and Ryan Kurniawan. Existence, uniqueness, and regularity for stochastic evolution equations with irregular initial values. Journal of Mathematical Analysis and Applications, 495(1):124558, 33, January 2021. doi:10.1016/j.jmaa.2020.124558.

    $\bullet $ David Alonso-Gutiérrez, Florian Besau, Julian Grote, Zakhar Kabluchko, Matthias Reitzner, Christoph Thäle, Beatrice-Helen Vritsiou, and Elisabeth Werner. Asymptotic normality for random simplices and convex bodies in high dimensions. Proceedings of the American Mathematical Society, 149(1):355–367, January 2021. doi:10.1090/proc/15232.

    $\bullet $ Christian Clason, Carla Tameling, and Benedikt Wirth. Convex relaxation of discrete vector-valued optimization problems. SIAM Review, 63(4):783–821, January 2021. doi:10.1137/21M1426237.

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    2020

    $\bullet $ Rishabh S. Gvalani and André Schlichting. Barriers of the McKeanVlasov energy via a mountain pass theorem in the space of probability measures. J. Funct. Anal., 279(11):108720, December 2020. doi:10.1016/j.jfa.2020.108720.

    $\bullet $ Zakhar Kabluchko and Dmitry Zaporozhets. Angles of the Gaussian simplex. J. Math. Sci., 251(4):480–488, December 2020. doi:10.1007/s10958-020-05107-2.

    $\bullet $ Rudolf Zeidler. Width, largeness and index theory. SIGMA Symmetry Integrability Geom. Methods Appl., 16:Paper No. 127, 15, December 2020. doi:10.3842/SIGMA.2020.127.

    $\bullet $ Hans-Joachim Hein and Valentino Tosatti. Higher-order estimates for collapsing Calabi-Yau metrics. Cambridge Journal of Mathematics, 8:683–773, December 2020. doi:10.4310/cjm.2020.v8.n4.a1.

    $\bullet $ Arnulf Jentzen, Felix Lindner, and Primož Pušnik. Exponential moment bounds and strong convergence rates for tamed-truncated numerical approximations of stochastic convolutions. Numer. Algorithms, 85(4):1447–1473, December 2020. doi:10.1007/s11075-019-00871-y.

    $\bullet $ Martin Hutzenthaler, Arnulf Jentzen, Thomas Kruse, Tuan Anh Nguyen, and Philippe von Wurstemberger. Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations. Proc. A., 476(2244):20190630, 25, December 2020. doi:10.1098/rspa.2019.0630.

    $\bullet $ Christian Beck, Fabian Hornung, Martin Hutzenthaler, Arnulf Jentzen, and Thomas Kruse. Overcoming the curse of dimensionality in the numerical approximation of Allen-Cahn partial differential equations via truncated full-history recursive multilevel Picard approximations. Journal of Numerical Mathematics, 28(4):197–222, December 2020. doi:10.1515/jnma-2019-0074.

    $\bullet $ Eusebio Gardella. Equivariant KK-theory and the continuous Rokhlin property. International Mathematics Research Notices, December 2020. doi:10.1093/imrn/rnaa292.

    $\bullet $ Laurentiu Maxim and Jörg Schürmann. Plethysm and cohomology representations of external and symmetric products. Advances in Mathematics, 375:107373, December 2020. doi:10.1016/j.aim.2020.107373.

    $\bullet $ Elizabeth Milićević and Eva Viehmann. Generic Newton points and the Newton poset in Iwahori-double cosets. Forum Math. Sigma, November 2020. doi:10.1017/fms.2020.46.

    $\bullet $ Vito Crismale, Manuel Friedrich, and Francesco Solombrino. Integral representation for energies in linear elasticity with surface discontinuities. Advances in Calculus of Variations, November 2020. doi:10.1515/acv-2020-0047.

    $\bullet $ Zakhar Kabluchko, Christoph Thäle, and Dmitry Zaporozhets. Beta polytopes and Poisson polyhedra: $f$-vectors and angles. Adv. Math., 374:107333, 63, November 2020. doi:10.1016/j.aim.2020.107333.

    $\bullet $ Hendrik Flasche and Zakhar Kabluchko. Expected number of real zeroes of random Taylor series. Commun. Contemp. Math., 22(7):1950059, 38, November 2020. doi:10.1142/S0219199719500597.

    $\bullet $ Alcides Buss, Siegfried Echterhoff, and Rufus Willett. The maximal injective crossed product. Ergodic Theory and Dynamical Systems, 40(11):2995–3014, November 2020. doi:10.1017/etds.2019.25.

    $\bullet $ Sebastian Becker, Ramon Braunwarth, Martin Hutzenthaler, Arnulf Jentzen, and Philippe von Wurstemberger. Numerical simulations for full history recursive multilevel Picard approximations for systems of high-dimensional partial differential equations. Communications in Computational Physics, 28(5):2109–2138, November 2020. doi:10.4208/cicp.OA-2020-0130.

    $\bullet $ Massoud Amini, Siegfried Echterhoff, and Hamed Nikpey. $C^\ast $-operator systems and crossed products. Journal of Mathematical Analysis and Applications, 491(1):124308, November 2020. doi:10.1016/j.jmaa.2020.124308.

    $\bullet $ Ursula Ludwig. An index formula for the intersection Euler characteristic of an infinite cone. Math. Z., 296(1):99–126, October 2020. doi:10.1007/s00209-019-02423-5.

    $\bullet $ Joachim Lohkamp. Potential theory on minimal hypersurfaces I: singularities as Martin boundaries. Potential Anal., 53(4):1493–1528, October 2020. doi:10.1007/s11118-019-09815-6.

    $\bullet $ Zakhar Kabluchko, Joscha Prochno, and Christoph Thäle. Intersection of unit balls in classical matrix ensembles. Israel J. Math., 239(1):129–172, October 2020. doi:10.1007/s11856-020-2052-6.

    $\bullet $ Matthias Löwe, Kristina Schubert, and Franck Vermet. Multi-group binary choice with social interaction and a random communication structure-A random graph approach. Phys. A, 556:124735, October 2020. doi:10.1016/j.physa.2020.124735.

    $\bullet $ Farmer Schlutzenberg. A premouse inheriting strong cardinals from V. Annals of Pure and Applied Logic, 171(9):102826, October 2020. doi:10.1016/j.apal.2020.102826.

    $\bullet $ Manuel Friedrich and Ulisse Stefanelli. Ripples in graphene: A variational approach. Comm. Math. Phys., 379(3):915–954, October 2020. doi:10.1007/s00220-020-03869-z.

    $\bullet $ Benedikt Wirth. Green’s function for the Neumann–Poisson problem on $n$-dimensional balls. Am. Math. Mon., 127(8):737–743, September 2020. doi:10.1080/00029890.2020.1790910.

    $\bullet $ Ursula Ludwig. An extension of a theorem by Cheeger and Müller to spaces with isolated conical singularities. Duke Math. J., 169(13):2501–2570, September 2020. doi:10.1215/00127094-2020-0008.

    $\bullet $ Chiranjib Mukherjee and Srinivasa R. S. Varadhan. Identification of the polaron measure in strong coupling and the Pekar variational formula. Ann. Probab., 48(5):2119–2144, September 2020. doi:10.1214/19-AOP1392.

    $\bullet $ Aleksandra Kwiatkowska and Maciej Malicki. Ordered structures and large conjugacy classes. J. Algebra, 557:67–96, September 2020. doi:10.1016/j.jalgebra.2020.03.021.

    $\bullet $ Zakhar Kabluchko, Joscha Prochno, and Christoph Thäle. Exact asymptotic volume and volume ratio of Schatten unit balls. J. Approx. Theory, 257:105457, 13, September 2020. doi:10.1016/j.jat.2020.105457.

    $\bullet $ Florian Schneider and Tobias Leibner. First-order continuous- and discontinuous-Galerkin moment models for a linear kinetic equation: Model derivation and realizability theory. Journal of Computational Physics, 416:109547, September 2020. doi:10.1016/j.jcp.2020.109547.

    $\bullet $ Julio Backhoff-Veraguas, Mathias Beiglböck, Martin Huesmann, and Sigrid Källblad. Martingale Benamou-Brenier: a probabilistic perspective. Ann. Probab., 48(5):2258–2289, September 2020. doi:10.1214/20-AOP1422.

    $\bullet $ Annika Bach, Andrea Braides, and Caterina Ida Zeppieri. Quantitative analysis of finite-difference approximations of free-discontinuity problems. Interfaces Free Bound., 22(3):317–381, September 2020. doi:10.4171/ifb/443.

    $\bullet $ Gerold Alsmeyer, Zakhar Kabluchko, Alexander Marynych, and Vladislav Vysotsky. How long is the convex minorant of a one-dimensional random walk? Electron. J. Probab., 25:Paper No. 105, 22, September 2020. doi:10.1214/20-ejp497.

    $\bullet $ Henrik Matthiesen and Anna Siffert. Sharp asymptotics of the first eigenvalue on some degenerating surfaces. Trans. Am. Math. Soc., 373(8):5903–5936, August 2020. doi:10.1090/tran/8114.

    $\bullet $ H. Bansal, S. Rave, L. Iapichino, W. Schilders, and N. van de Wouw. Model order reduction framework for problems with moving discontinuities. In Numerical Mathematics and Advanced Applications ENUMATH 2019, 83–91. August 2020. doi:10.1007/978-3-030-55874-1_7.

    $\bullet $ Chiranjib Mukherjee and S. R. S. Varadhan. The Polaron measure. In Applied Probability and Stochastic Processes, pages 415–419. August 2020. doi:10.1007/978-981-15-5951-8_24.

    $\bullet $ David Kerr. Dimension, comparison, and almost finiteness. J. Eur. Math. Soc. (JEMS), 22(11):3697–3745, August 2020. doi:10.4171/jems/995.

    $\bullet $ Zakhar Kabluchko. Expected $f$-vector of the Poisson zero polytope and random convex hulls in the half-sphere. Mathematika, 66(4):1028–1053, August 2020. doi:10.1112/mtk.12056.

    $\bullet $ Zakhar Kabluchko, Matthias Löwe, and Kristina Schubert. Fluctuations of the magnetization for Ising models on Erdős-nyi random graphs—the regimes of small $p$ and the critical temperature. J. Phys. A, 53(35):355004, 37, August 2020. doi:10.1088/1751-8121/aba05f.

    $\bullet $ Martin Hutzenthaler, Arnulf Jentzen, and Philippe von Wurstemberger. Overcoming the curse of dimensionality in the approximative pricing of financial derivatives with default risks. Electron. J. Probab., 25:Paper No. 101, 73, August 2020. doi:10.1214/20-ejp423.

    $\bullet $ Sigmundur Gudmundsson and Anna Siffert. Proper $r$-harmonic functions on the Thurston geometries. J. Geom. Phys., 154:103729, 12, August 2020. doi:10.1016/j.geomphys.2020.103729.

    $\bullet $ Sandra Müller, Ralf Schindler, and W. Hugh Woodin. Mice with finitely many Woodin cardinals from optimal determinacy hypotheses. J. Math. Log., July 2020. doi:10.1142/S0219061319500132.

    $\bullet $ Zakhar Kabluchko and Dmitry Zaporozhets. Absorption probabilities for Gaussian polytopes and regular spherical simplices. Adv. in Appl. Probab., 52(2):588–616, July 2020. doi:10.1017/apr.2020.7.

    $\bullet $ Fredrik Hellman, Tim Keil, and Axel Målqvist. Numerical upscaling of perturbed diffusion problems. SIAM Journal on Scientific Computing, 42(4):A2014–A2036, July 2020. doi:10.1137/19M1278211.

    $\bullet $ Behrend Heeren, Stefan Paulus, Heiner Goldbach, Heiner Kuhlmann, Anne-Katrin Mahlein, Martin Rumpf, and Benedikt Wirth. Statistical shape analysis of tap roots: a methodological case study on laser scanned sugar beets. BMC Bioinformatics, 21(1):335, July 2020. doi:10.1186/s12859-020-03654-8.

    $\bullet $ Urs Hartl and Eugen Hellmann. The universal family of semistable $p$-adic Galois representations. Algebra Number Theory, 14(5):1055–1121, July 2020. doi:10.2140/ant.2020.14.1055.

    $\bullet $ Julius Berner, Philipp Grohs, and Arnulf Jentzen. Analysis of the generalization error: empirical risk minimization over deep artificial neural networks overcomes the curse of dimensionality in the numerical approximation of Black-Scholes partial differential equations. SIAM Journal on Mathematics of Data Science, 2(3):631–657, July 2020. doi:10.1137/19M125649X.

    $\bullet $ Sebastian Becker, Patrick Cheridito, and Arnulf Jentzen. Pricing and heding american-style options with deep learning. Journal of Risk and Financial Management, July 2020. doi:10.3390/jrfm13070158.

    $\bullet $ Peter Bastian, Mirco Altenbernd, Nils-Arne Dreier, Christian Engwer, Jorrit Fahlke, René Fritze, Markus Geveler, Dominik Göddeke, Oleg Iliev, Olaf Ippisch, Jan Mohring, Steffen Müthing, Mario Ohlberger, Dirk Ribbrock, Nikolay Shegunov, and Stefan Turek. Exa-duneflexible PDE solvers, numerical methods and applications. In Hans-Joachim Bungartz, Severin Reiz, Benjamin Uekermann, Philipp Neumann, and Wolfgang E. Nagel, editors, Software for Exascale Computing - SPPEXA 2016-2019, pages 225–269. Cham, July 2020. doi:10.1007/978-3-030-47956-5_9.

    $\bullet $ Esmail Arasteh Rad and Urs Hartl. Category of C-motives over finite fields. Journal of Number Theory, July 2020. doi:10.1016/j.jnt.2020.06.015.

    $\bullet $ Benjamin Fehrman, Benjamin Gess, and Arnulf Jentzen. Convergence rates for the Stochastic Gradient Descent method for non-convex objective functions. Journal of Machine Learning Research, 21(136):1–48, June 2020.

    $\bullet $ André Schlichting. The exchange-driven growth model: Basic properties and longtime behavior. J. Nonlinear Sci., 30(3):793–830, June 2020. doi:10.1007/s00332-019-09592-x.

    $\bullet $ Kristin Courtney and David Sherman. The universal $C^*$-algebra of a contraction. J. Oper. Theory, June 2020. doi:10.7900/jot.2019mar11.2229.

    $\bullet $ Karl Heinrich Hofmann and Linus Kramer. On weakly complete group algebras of compact groups. J. Lie Theory, 30(2):407–424, June 2020.

    $\bullet $ Laurentiu Maxim, Morihiko Saito, and Jörg Schürmann. Spectral Hirzebruch-Milnor classes of singular hypersurfaces. Math. Ann., 377(1-2):281–315, June 2020. doi:10.1007/s00208-018-1750-4.

    $\bullet $ Filippo Cagnetti, Antonin Chambolle, Matteo Perugini, and Lucia Scardia. An extension result for generalised special functions of bounded deformation. Calculus of Variations & Geometric Measure Theory, June 2020.

    $\bullet $ Neil Barton, Andrés Eduardo Caicedo, Gunter Fuchs, Joel David Hamkins, Jonas Reitz, and Ralf Schindler. Inner-model reflection principles. Studia Logica, 108(3):573–595, June 2020. doi:10.1007/s11225-019-09860-7.

    $\bullet $ Manuel Krannich and Jens Reinhold. Characteristic numbers of manifold bundles over surfaces with highly connected fibers. Journal of the London Mathematical Society, June 2020. doi:10.1112/jlms.12344.

    $\bullet $ Sebastian Becker, Benjamin Gess, Arnulf Jentzen, and Peter E. Kloeden. Lower and upper bounds for strong approximation errors for numerical approximations of stochastic heat equations. BIT, 60(4):1057–1073, June 2020. doi:10.1007/s10543-020-00807-2.

    $\bullet $ Martin Bays, Bradd Hart, and Anand Pillay. Universal covers of commutative finite Morley rank groups. J. Inst. Math. Jussieu, 19(3):767–799, May 2020. doi:10.1017/S1474748018000191.

    $\bullet $ Urs Hartl and Ann-Kristin Juschka. Pink's theory of Hodge structures and the Hodge conjecture over function fields, pages 35–155. European Mathematical Society (EMS), Zürich, May 2020. doi:10.4171/198.

    $\bullet $ Urs Hartl and Wansu Kim. Local Shtukas, Hodge-Pink Structures and Galois Representations, pages 157–218. European Mathematical Society (EMS), Zürich, May 2020. doi:10.4171/198.

    $\bullet $ Alcides Buss, Siegfried Echterhoff, and Rufus Willett. Injectivity, crossed products, and amenable group actions. In $K$-theory in algebra, analysis and topology, volume 749 of Contemp. Math., pages 105–137. May 2020. doi:10.1090/conm/749/15069.

    $\bullet $ Zakhar Kabluchko, Joscha Prochno, and Christoph Thäle. Sanov-type large deviations in Schatten classes. Annales de L'Institut Henri Poincare Section (B) Probability and Statistics, 56(2):928–953, May 2020. doi:10.1214/19-AIHP989.

    $\bullet $ Arnulf Jentzen and Ryan Kurniawan. Weak convergence rates for Euler-type approximations of semilinear stochastic evolution equations with nonlinear diffusion coefficients. Foundations of Computational Mathematics, May 2020. doi:10.1007/s10208-020-09448-x.

    $\bullet $ Bernhard Schmitzer, Klaus P. Schäfers, and Benedikt Wirth. Dynamic cell imaging in PET with optimal transport regularization. IEEE Transactions on Medical Imaging, 39(5):1626–1635, May 2020. doi:10.1109/TMI.2019.2953773.

    $\bullet $ Annika Bach and Liesel Sommer. A Γ-convergence result for fluid-filled fracture propagation. ESAIM: M2AN, 54(3):1003–1023, May 2020. doi:10.1051/m2an/2020016.

    $\bullet $ Francis Comets, Clément Cosco, and Chiranjib Mukherjee. Renormalizing the Kardar-Parisi-Zhang equation in $d\geq 3$ in weak disorder. J. Stat. Phys., 179(3):713–728, April 2020. doi:10.1007/s10955-020-02539-7.

    $\bullet $ Matthias Löwe and Kristina Schubert. Exact recovery in block spin Ising models at the critical line. Electron. J. Stat., 14(1):1796–1815, April 2020. doi:10.1214/20-EJS1703.

    $\bullet $ Arnulf Jentzen and Primož Pušnik. Strong convergence rates for an explicit numerical approximation method for stochastic evolution equations with non-globally Lipschitz continuous nonlinearities. IMA J. Numer. Anal., 40(2):1005–1050, April 2020. doi:10.1093/imanum/drz009.

    $\bullet $ Christian Seis. A note on the vanishing viscosity limit in the Yudovich class. Canadian Mathematical Bulletin, pages 1–11, April 2020. doi:10.4153/S0008439520000296.

    $\bullet $ Manuel Friedrich and Ulisse Stefanelli. Crystallization in a one-dimensional periodic landscape. J. Stat. Phys., 179(2):485–501, April 2020. doi:10.1007/s10955-020-02537-9.

    $\bullet $ Vito Crismale and Manuel Friedrich. Equilibrium configurations for epitaxially strained films and material voids in three-dimensional linear elasticity. Arch. Ration. Mech. Anal., 237(2):1041–1098, April 2020. doi:10.1007/s00205-020-01525-3.

    $\bullet $ Christian Seis. On the Littlewood–Paley spectrum for passive scalar transport equations. Journal of Nonlinear Science, 30(2):645–656, April 2020. doi:10.1007/s00332-019-09585-w.

    $\bullet $ Asma Hassannezhad and Anna Siffert. A note on Kuttler–Sigillito's inequalities. Ann. Math. Qué., 44(1):125–147, April 2020. doi:10.1007/s40316-019-00113-6.

    $\bullet $ Anthony Genevois and Olga Varghese. Conjugating automorphisms of graph products: Kazhdan's property (T) and SQ-universality. Bulletin of the Australian Mathematical Society, 101(2):272–282, April 2020. doi:10.1017/s0004972719000844.

    $\bullet $ Martin Hutzenthaler, Arnulf Jentzen, Thomas Kruse, and Tuan Anh Nguyen. A proof that rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear heat equations. SN Partial Differential Equations and Applications, 1(2):10, April 2020. doi:10.1007/s42985-019-0006-9.

    $\bullet $ Arnulf Jentzen and Primož Pušnik. Strong convergence rates for an explicit numerical approximation method for stochastic evolution equations with non-globally Lipschitz continuous nonlinearities. IMA Journal of Numerical Analysis, 40(2):1005–1050, April 2020. doi:10.1093/imanum/drz009.

    $\bullet $ Zakhar Kabluchko, Joscha Prochno, and Vladislav Vysotsky. Yet another note on the arithmetic-geometric mean inequality. Studia Math., 253(1):39–55, April 2020. doi:10.4064/sm181014-16-3.

    $\bullet $ Boris Botvinnik, Johannes Ebert, and David J. Wraith. On the topology of the space of Ricci-positive metrics. Proceedings of the American Mathematical Society, 148:3997–4006, April 2020. doi:10.1090/proc/14988.

    $\bullet $ Ulrich Böttcher and Benedikt Wirth. Convex lifting-type methods for curvature regularization. In Philipp Grohs, Martin Holler, and Andreas Weinmann, editors, Handbook of Variational Methods for Nonlinear Geometric Data, chapter 7, pages 207–233. April 2020. doi:10.1007/978-3-030-31351-7_7.

    $\bullet $ Arnulf Jentzen and Philippe Von Wurstemberger. Lower error bounds for the stochastic gradient descent optimization algorithm: Sharp convergence rates for slowly and fast decaying learning rates. Journal of Complexity, 57:101438, April 2020. doi:10.1016/j.jco.2019.101438.

    $\bullet $ Michael S. Weiss. Immersion theory for homotopy theorists. Grad. J. Math., 5(1):9–27, April 2020.

    $\bullet $ Filippo Calderoni, Heike Mildenberger, and Luca Motto Ros. Uncountable structures are not classifiable up to bi-embeddiality. J. Math. Log., 20(1):1–49, April 2020. doi:10.1142/S0219061320500014.

    $\bullet $ David Kerr and Gábor Szabó. Almost finiteness and the small boundary property. Comm. Math. Phys., 374(1):1–31, March 2020. doi:10.1007/s00220-019-03519-z.

    $\bullet $ Oskar Braun, Karl H. Hofmann, and Linus Kramer. Automatic continuity of abstract homomorphisms between locally compact and polish groups. Transform. Groups, 25(1):1–32, March 2020. doi:10.1007/s00031-019-09537-4.

    $\bullet $ Fabian Hebestreit and Michael Joachim. Twisted spin cobordism and positive scalar curvature. J. Topol., 13(1):1–58, March 2020. doi:10.1112/topo.12122.

    $\bullet $ Martin Hutzenthaler and Arnulf Jentzen. On a perturbation theory and on strong convergence rates for stochastic ordinary and partial differential equations with nonglobally monotone coefficients. Ann. Probab., 48(1):53–93, March 2020. doi:10.1214/19-AOP1345.

    $\bullet $ Gustav Holzegel, Jonathan Luk, Jacques Smulevici, and Claude Warnick. Asymptotic properties of linear field equations in anti–de Sitter space. Comm. Math. Phys., 374(2):1125–1178, March 2020. doi:10.1007/s00220-019-03601-6.

    $\bullet $ Lars Hesselholt and Thomas Nikolaus. Algebraic $K$-theory of planar cuspidal curves. In $K$-theory in algebra, analysis and topology, volume 749 of Contemp. Math., pages 139–148. Amer. Math. Soc., [Providence], RI, March 2020. doi:10.1090/conm/749/15070.

    $\bullet $ Erik Panzer and Raimar Wulkenhaar. Lambert-W solves the noncommutative $\Phi ^4$-model. Communications in Mathematical Physics, March 2020. doi:10.1007/s00220-019-03592-4.

    $\bullet $ Hendrik Flasche and Zakhar Kabluchko. Real zeroes of random analytic functions associated with geometries of constant curvature. J. Theoret. Probab., 33(1):103–133, March 2020. doi:10.1007/s10959-018-0843-z.

    $\bullet $ Holger Knöpfel, Matthias Löwe, Kristina Schubert, and Arthur Sinulis. Fluctuation results for general block spin Ising models. J. Stat. Phys., 178(5):1175–1200, February 2020. doi:10.1007/s10955-020-02489-0.

    $\bullet $ Kristin Courtney and Tatiana Shulman. Free products with amalgamation over central $C^*$-subalgebras. Proc. Am. Math. Soc., 148(2):765–776, February 2020. doi:10.1090/proc/14746.

    $\bullet $ Franziska Jahnke and Pierre Simon. NIP henselian valued fields. Arch. Math. Logic, 59(1-2):167–178, February 2020. doi:10.1007/s00153-019-00685-8.

    $\bullet $ Stephan Rave and Jens Saak. A non-stationary thermal-block benchmark model for parametric model order reduction. In Model reduction of complex dynamical systems, volume 171 of Internat. Ser. Numer. Math., pages 349–356. February 2020. doi:10.5281/zenodo.3691894.

    $\bullet $ Manuel Friedrich and Leonard Kreutz. Finite crystallization and Wulff shape emergence for ionic compounds in the square lattice. Nonlinearity, 33(3):1240–1296, February 2020. doi:10.1088/1361-6544/ab591f.

    $\bullet $ Mriko Ebbers and Matthias Löwe. Equi-energy sampling does not converge rapidly on the mean-field Potts model with three colors close to the critical temperature. Journal of Physics A: Mathematical and Theoretical, February 2020. doi:10.1088/1751-8121/ab7422.

    $\bullet $ Elisa Davoli and Manuel Friedrich. Two-well rigidity and multidimensional sharp-interface limits for solid–solid phase transitions. Calc. Var. Partial Differential Equations, 59(2):Paper No. 44, February 2020. doi:10.1007/s00526-020-1699-5.

    $\bullet $ Manuel Friedrich and Francesco Solombrino. Functionals defined on piecewise rigid functions: Integral representation and Γ -convergence. Arch. Ration. Mech. Anal., 236(3):1325–1387, February 2020. doi:10.1007/s00205-020-01493-8.

    $\bullet $ Chiranjib Mukherjee and Srinivasa R. S. Varadhan. Identification of the Polaron measure I: Fixed coupling regime and the central limit theorem for large times. Communications on Pure and Applied Mathematics, 73(2):350–383, February 2020. doi:10.1002/cpa.21858.

    $\bullet $ Thomas Nikolaus and Konrad Waldorf. Higher geometry for non-geometric T-duals. Communications in Mathematical Physics, 374(1):317–366, February 2020. doi:10.1007/s00220-019-03496-3.

    $\bullet $ Laurent Berger, Peter Schneider, and Bingyong Xie. Rigid character groups, Lubin-Tate theory, and $(\varphi ,\Gamma )$-modules. Mem. Amer. Math. Soc., 263(1275):v + 79, February 2020. doi:10.1090/memo/1275.

    $\bullet $ Zakhar Kabluchko. Angle sums of random simplices in dimensions $3$ and $4$. Proc. Amer. Math. Soc., 148(7):3079–3086, February 2020. doi:10.1090/proc/14934.

    $\bullet $ Raimar Wulkenhaar. Quantum field theory on noncommutative spaces. In A. Chamseddine, C Consani, N Higson, M Khalkhali, H Moscovici, and G Yu, editors, Advances in Noncommutative Geometry, pages 607–690. January 2020. doi:10.1007/978-3-030-29597-4_11.

    $\bullet $ J. A. Carrillo, R. S. Gvalani, G. A. Pavliotis, and A. Schlichting. Long-time behaviour and phase transitions for the MckeanVlasov equation on the torus. Arch. Ration. Mech. Anal., 235(1):635–690, January 2020. doi:10.1007/s00205-019-01430-4.

    $\bullet $ Christian Engwer, Sandra May, Andreas Nüßing, and Florian Streitbürger. A stabilized DG cut cell method for discretizing the linear transport equation. SIAM J. Sci. Comp., 42(6):A3677–A3703, January 2020. doi:10.1137/19M1268318.

    $\bullet $ Michael S. Weiss. Configuration categories and homotopy automorphisms. Glasg. Math. J., 62(1):13–41, January 2020. doi:10.1017/s0017089518000502.

    $\bullet $ Urs Hartl and Rajneesh Kumar Singh. Periods of Drinfeld modules and local shtukas with complex multiplication. J. Inst. Math. Jussieu, 19(1):175–208, January 2020. doi:10.1017/s1474748017000494.

    $\bullet $ Peter Schneider and Ernst-Wilhelm Zink. Zelevinsky operations for multisegments and a partial order on partitions. Pacific J. Math., 304(1):181–207, January 2020. doi:10.2140/pjm.2020.304.181.

    $\bullet $ Christopher Deninger and Annette Werner. Parallel transport for vector bundles on $p$-adic varieties. Journal of Algebraic Geometry, 29(1):1–52, January 2020. doi:10.1090/jag/747.

    $\bullet $ Manuel Friedrich. Griffith energies as small strain limit of nonlinear models for nonsimple brittle materials. Mathematics in Engineering, 2(1):75–100, January 2020. arXiv:1916.07817, doi:10.3934/mine.2020005.

    $\bullet $ Harald Grosse, Alexander Hock, and Raimar Wulkenhaar. Solution of the self-dual $\Phi ^4$ QFT-model on four-dimensional Moyal space. Journal of High Energy Physics, 01:081, January 2020. doi:10.1007/jhep01(2020)081.

    $\bullet $ Behrend Heeren, Martin Rumpf, Max Wardetzky, and Benedikt Wirth. Discrete Riemannian calculus on shell space. In Andrea Bonito and Ricardo Nochetto, editors, Geometric partial differential equations, volume 21 of Handbook of Numerical Analysis, pages 621–679. January 2020. doi:10.1016/bs.hna.2019.06.005.

    $\bullet $ Nils Leder and Olga Varghese. A note on locally elliptic actions on cube complexes. Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial, 18(1):1–6, January 2020. doi:10.2140/iig.2020.18.1.

    $\bullet $ Christopher Deninger. P-adic limits of renormalized logarithmic Euler characteristics. Groups, Geometry, and Dynamics, 14(2):427–467, January 2020. arXiv:1801.02412, doi:10.4171/GGD/550.

    $\bullet $ Laurentiu Maxim, Morihiko Saito, and Jörg Schürmann. Thom-Sebastiani theorems for filtered $\mathcal D$-modules and for multiplier ideals. International Mathematics Research Notices, 2020(1):91–111, January 2020. doi:10.1093/imrn/rny032.

    $\bullet $ Gernot Münster and Raimar Wulkenhaar. The Leutwyler–Smilga relation on the lattice. Modern Physics Letters A, 35:1950346, January 2020. doi:10.1142/s0217732319503462.

    $\bullet $ Luca Ferrari, Carolin Dirks, and Benedikt Wirth. Phase field approximations of branched transportation problems. Calc. Var. Partial Differential Equations, 59(1):Paper No. 37, 34, January 2020. doi:10.1007/s00526-019-1680-3.

    $\bullet $ Mario Ohlberger, Ben Schweizer, Maik Urban, and Barbara Verfürth. Mathematical analysis of transmission properties of electromagnetic meta-materials. Networks & Heterogeneous Media, 15(1):29–56, January 2020. doi:10.3934/nhm.2020002.

    $\bullet $ Olga Varghese. On number of ends of graph products of groups. Communications in Algebra, pages 1–10, January 2020. doi:10.1080/00927872.2020.1714637.

    $\bullet $ Michael Wiemeler. Classification of rationally elliptic toric orbifolds. Arch. Math. (Basel), 114(6):641–647, January 2020. doi:10.1007/s00013-019-01430-6.

    $\bullet $ Michael Wiemeler. On moduli spaces of positive scalar curvature metrics on highly connected manifolds. International Mathematics Research Notices, January 2020. doi:10.1093/imrn/rnz386.

    $\bullet $ Caterina Ida Zeppieri. Homogenisation of high-contrast brittle materials. Mathematics in Engineering, 2(1):174–202, January 2020. doi:10.3934/mine.2020009.

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    2019

    $\bullet $ Yannic Bröker and Chiranjib Mukherjee. Localization of the Gaussian multiplicative chaos in the Wiener space and the stochastic heat equation in strong disorder. Ann. Appl. Probab., 29(6):3745–3785, December 2019. doi:10.1214/19-AAP1491.

    $\bullet $ Urs Hartl. Isogenies of abelian Anderson A-modules and A-motives. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 19(4):1429–1470, December 2019. doi:10.2422/2036-2145.201612_003.

    $\bullet $ Romain Pascalie. A solvable tensor field theory. Letters in Mathematical Physics, pages 125, December 2019. doi:10.1007/s11005-019-01245-0.

    $\bullet $ Jörg Schürmann and Jon Woolf. Witt groups of abelian categories and perverse sheaves. Annals of K-Theory, 4(4):621–670, December 2019. doi:10.2140/akt.2019.4.621.

    $\bullet $ Olga Varghese. The automorphism group of the universal Coxeter group. Expositiones Mathematicae, December 2019. doi:10.1016/j.exmath.2019.09.002.

    $\bullet $ André Schlichting and Martin Slowik. Poincaré and logarithmic Sobolev constants for metastable Markov chains via capacitary inequalities. Ann. Appl. Probab., 29(6):3438–3488, December 2019. doi:10.1214/19-AAP1484.

    $\bullet $ Zakhar Kabluchko, Alexander Marynych, Daniel Temesvari, and Christoph Thäle. Cones generated by random points on half-spheres and convex hulls of Poisson point processes. Probab. Theory Related Fields, 175(3-4):1021–1061, December 2019. doi:10.1007/s00440-019-00907-3.

    $\bullet $ Linus Balicki, Petar Mlinarić, Stephan Rave, and Jens Saak. System-theoretic model order reduction with pyMOR. PAMM, November 2019. doi:10.1002/pamm.201900459.

    $\bullet $ Amine Helali and Matthias Löwe. Hitting times, commute times, and cover times for random walks on random hypergraphs. Statistics & Probability Letters, 154:108535, 6, November 2019. doi:10.1016/j.spl.2019.06.011.

    $\bullet $ Martin Huesmann and Dario Trevisan. A Benamou–Brenier formulation of martingale optimal transport. Bernoulli, 25(4A):2729–2757, November 2019. doi:10.3150/18-bej1069.

    $\bullet $ Linus Kramer and Olga Varghese. Abstract homomorphisms from locally compact groups to discrete groups. Journal of Algebra, 538:127–139, November 2019. doi:10.1016/j.jalgebra.2019.07.026.

    $\bullet $ Andrea Marchese and Benedikt Wirth. Approximation of rectifiable 1-currents and weak- relaxation of the $h$-mass. Journal of Mathematical Analysis and Applications, 479(2):2268–2283, November 2019. doi:10.1016/j.jmaa.2019.07.059.

    $\bullet $ Esmail Arasteh Rad and Urs Hartl. Uniformizing the moduli stacks of global G-shtukas. International Mathematics Research Notices, November 2019. doi:10.1093/imrn/rnz223.

    $\bullet $ Stephan Rave and Felix Schindler. A locally conservative reduced flux reconstruction for elliptic problems. PAMM, November 2019. doi:10.1002/pamm.201900026.

    $\bullet $ Steffen Dereich. The rank-one and the preferential attachment paradigm. In Network Science, pages 43–58. November 2019. doi:10.1007/978-3-030-26814-5_4.

    $\bullet $ Yatir Halevi, Assaf Hasson, and Franziska Jahnke. Definable V-topologies, Henselianity and NIP. Journal of Mathematical Logic, 0(0):2050008, November 2019. doi:10.1142/S0219061320500087.

    $\bullet $ Lutz Hille and David Ploog. Exceptional sequences and spherical modules for the Auslander algebra of $k[x]/(x^t)$. Pacific J. Math., 302(2):599–625, November 2019. doi:10.2140/pjm.2019.302.599.

    $\bullet $ Zakhar Kabluchko and Mikhail A. Lifshits. Adaptive energy-saving approximation for stationary processes. Izvestiya: Mathematics, 83(5):932–956, October 2019. doi:10.1070/IM8840.

    $\bullet $ Gunnar Kaib, Kyungkeun Kang, and Angela Stevens. Global minimizers for anisotropic attractive-repulsive interactions. European Journal of Applied Mathematics, pages 1–17, October 2019. doi:10.1017/s0956792519000299.

    $\bullet $ Rachel Ollivier and Peter Schneider. The modular pro-$p$ Iwahori-Hecke Ext-algebra. In Avraham Aizenbud, Dmitry Gourevitch, David Kazhdan, and Erez M. Lapid, editors, Representations of Reductive Groups, volume 101 of Proceedings of Symposia in Pure Mathematics, pages 255–308. October 2019. doi:10.1090/pspum/101.

    $\bullet $ Olga Varghese. On hyperbolicity and virtual freeness of automorphism groups. Geometriae Dedicata, October 2019. doi:10.1007/s10711-019-00486-6.

    $\bullet $ Thomas Püttmann and Anna Siffert. Harmonic self-maps of cohomogeneity one manifolds. Math. Ann., 375(1):247–282, October 2019. doi:10.1007/s00208-019-01848-x.

    $\bullet $ Muna Taha, Mohammed Aldirawi, Sigrid März, Jochen Seebach, Maria Odenthal-Schnittler, Olga Bondareva, Vesna Bojovic, Thomas Schmandra, Benedikt Wirth, Magdalena Mietkowska, Klemens Rottner, and Hans Schnittler. EPLIN-α and -β isoforms modulate endothelial cell dynamics through a spatiotemporally differentiated interaction with actin. Cell Reports, 29(4):1010–1026.e6, October 2019. doi:10.1016/j.celrep.2019.09.043.

    $\bullet $ Ramon Antoine, Francesc Perera, and Hannes Thiel. Abstract bivariant Cuntz semigroups II. Forum Mathematicum, September 2019. doi:10.1515/forum-2018-0285.

    $\bullet $ Manuel Friedrich and Leonard Kreutz. Crystallization in the hexagonal lattice for ionic dimers. Mathematical Models & Methods in Applied Sciences, 29(10):1853–1900, September 2019. doi:10.1142/s0218202519500362.

    $\bullet $ Martin Hils and François Loeser. A First Journey through Logic. Student Mathematical Library. American Mathematical Society, 1. edition, September 2019.

    $\bullet $ Mario Ohlberger, Andreas Buhr, Dennis Eikhorn, Christian Engwer, and Stephan Rave. Advances in model order reduction for large scale or multi-scale problems. Oberwolfach Reports, 2019:38–40, September 2019.

    $\bullet $ Benedikt Wirth. Phase field models for two-dimensional branched transportation problems. Calculus of Variations and Partial Differential Equations, 58(5):164, September 2019. doi:10.1007/s00526-019-1615-z.

    $\bullet $ Dmitri Pavlov and Jakob Scholbach. Symmetric operads in abstract symmetric spectra—erratum. J. Inst. Math. Jussieu, 18(5):1113, September 2019. doi:10.1017/s1474748019000379.

    $\bullet $ Lutz Hille and David Ploog. Tilting chains of negative curves on rational surfaces. Nagoya Math. J., 235:26–41, September 2019. doi:10.1017/nmj.2017.40.

    $\bullet $ Mathias Beiglböck, Alexander M. G. Cox, and Martin Huesmann. The geometry of multi-marginal Skorokhod Embedding. Probability Theory and Related Fields, August 2019. doi:10.1007/s00440-019-00935-z.

    $\bullet $ Christoph Böhm and Ramiro A. Lafuente. The Ricci flow on solvmanifolds of real type. Advances in Mathematics, 352:516–540, August 2019. doi:10.1016/j.aim.2019.06.014.

    $\bullet $ Christophe Breuil, Eugen Hellmann, and Benjamin Schraen. A local model for the trianguline variety and applications. Publ. Math. IHES, 130(1):299–412, August 2019. doi:10.1007/s10240-019-00111-y.

    $\bullet $ Ulrich Bunke and Thomas Nikolaus. Twisted differential cohomology. Algebr. Geom. Topol., 19(4):1631–1710, August 2019. doi:10.2140/agt.2019.19.1631.

    $\bullet $ Johannes Ebert and Oscar Randal-Williams. Semisimplicial spaces. Algebraic & Geometric Topology, 19(4):2099–2150, August 2019. doi:10.2140/agt.2019.19.2099.

    $\bullet $ Fredrik Hellman, Tim Keil, and Axel Målqvist. Multiscale methods for perturbed diffusion problems. Oberwolfach Reports, August 2019. arXiv:1908.00652.

    $\bullet $ Wolfgang Herfort, Karl H. Hofmann, Linus Kramer, and Francesco G. Russo. The Sylow structure of scalar automorphism groups. Topology and its Applications, 263:26–43, August 2019. doi:10.1016/j.topol.2019.05.027.

    $\bullet $ Jins de Jong and Raimar Wulkenhaar. Nonperturbative evaluation of the partition function for the real scalar quartic QFT on the Moyal plane at weak coupling. Journal of Mathematical Physics, 60(8):083504, August 2019. arXiv:1809.09453, doi:10.1063/1.5063293.

    $\bullet $ Zakhar Kabluchko, Matthias Löwe, and Kristina Schubert. Fluctuations of the magnetization for Ising models on dense Erdős–Rényi random graphs. Journal of Statistical Physics, 177(1):78–94, August 2019. doi:10.1007/s10955-019-02358-5.

    $\bullet $ Isabel Müller and Katrin Tent. Building-like geometries of finite Morley rank. Journal of the European Mathematical Society (JEMS), 21(12):3739–3757, August 2019. doi:10.4171/jems/912.

    $\bullet $ Johannes Riesselmann, Wilhelm Ketteler Jonas, Mira Schedensack, and Daniel Balzani. Three-field mixed finite element formulations for gradient elasticity at finite strains. GAMM-Mitteilungen, August 2019. doi:10.1002/gamm.202000002.

    $\bullet $ Arnulf Jentzen, Uli Stadtmüller, and Robert Stelzer. Foreword: Special issue on “Stochastic differential equations, stochastic algorithms, and applications”. J. Math. Anal. Appl., 476(1):1, August 2019. doi:10.1016/j.jmaa.2019.03.069.

    $\bullet $ Wilderich Tuschmann and Michael Wiemeler. Smooth stability and sphere theorems for manifolds and Einstein manifolds with positive scalar curvature. Comm. Anal. Geom., 27(2):491–509, August 2019. doi:10.4310/CAG.2019.v27.n2.a8.

    $\bullet $ Daniel Conus, Arnulf Jentzen, and Ryan Kurniawan. Weak convergence rates of spectral Galerkin approximations for SPDEs with nonlinear diffusion coefficients. Ann. Appl. Probab., 29(2):653–716, August 2019. doi:10.1214/17-AAP1352.

    $\bullet $ Christian Beck, Weinan E, and Arnulf Jentzen. Machine learning approximation algorithms for high-dimensional fully nonlinear partial differential equations and second-order backward stochastic differential equations. J. Nonlinear Sci., 29:1563–1619, August 2019. doi:10.1007/s00332-018-9525-3.

    $\bullet $ Arnulf Jentzen, Felix Lindner, and Primož Pušnik. On the Alekseev-Gröbner formula in Banach spaces. Discrete Contin. Dyn. Syst. – B, 24:4475–4511, August 2019. doi:10.3934/dcdsb.2019128.

    $\bullet $ Ildar Ibragimov, Zakhar Kabluchko, and Mikhail Lifshits. Some extensions of linear approximation and prediction problems for stationary processes. Stochastic Process. Appl., 129(8):2758–2782, August 2019. doi:10.1016/j.spa.2018.08.001.

    $\bullet $ Gerold Alsmeyer, Zakhar Kabluchko, and Alexander Marynych. Limit theorems for the least common multiple of a random set of integers. Transactions of the American Mathematical Society, 372(7):4585–4603, July 2019. doi:10.1090/tran/7871.

    $\bullet $ Richard Bamler, Esther Cabezas-Rivas, and Burkhard Wilking. The Ricci flow under almost non-negative curvature conditions. Inventiones Mathematicae, 217:95–126, July 2019. doi:10.1007/s00222-019-00864-7.

    $\bullet $ Christoph Böhm, Ramiro Lafuente, and Miles Simon. Optimal curvature estimates for homogeneous Ricci flows. International Mathematics Research Notices. IMRN, 2019(14):4431–4468, July 2019. doi:10.1093/imrn/rnx256.

    $\bullet $ Filippo Cagnetti, Gianni Dal Maso, Lucia Scardia, and Caterina Ida Zeppieri. Γ-convergence of free-discontinuity problems. Annales de L'Institut Henri Poincare Section (C) Non Linear Analysis, 36(4):1035–1079, July 2019. doi:10.1016/j.anihpc.2018.11.003.

    $\bullet $ André Schlichting. Macroscopic limit of the Becker–Döring equation via gradient flows. ESAIM Control Optim. Calc. Var., 25:22, July 2019. doi:10.1051/cocv/2018011.

    $\bullet $ Romain Pascalie, Carlos I. Pérez-Sánchez, Adrian Tanasa, and Raimar Wulkenhaar. On the large N limit of Schwinger-Dyson equations of a rank-3 tensor field theory. Journal of Mathematical Physics, 60(7):073502, July 2019. doi:10.1063/1.5080306.

    $\bullet $ Timo Richarz and Jakob Scholbach. The intersection motive on the moduli stack of shtukas. Forum of Mathematics Sigma, July 2019. doi:10.1017/fms.2019.32.

    $\bullet $ Bernhard Schmitzer and Benedikt Wirth. Dynamic models of Wasserstein-1-type unbalanced transport. ESAIM, 25(23):54, July 2019. doi:10.1051/cocv/2018017.

    $\bullet $ Hannes Thiel. Ranks of operators in simple $C^*$-algebras with stable rank one. Communications in Mathematical Physics, July 2019. doi:10.1007/s00220-019-03491-8.

    $\bullet $ Olga Varghese. On coherence of graph products of groups and Coxeter groups. Discrete Mathematics, 342(7):2100–2105, July 2019. doi:10.1016/j.disc.2019.04.014.

    $\bullet $ Dmitri Pavlov and Jakob Scholbach. Symmetric operads in abstract symmetric spectra. J. Inst. Math. Jussieu, 18(4):707–758, July 2019. doi:10.1017/s1474748017000202.

    $\bullet $ Manuel Friedrich, Edoardo Mainini, Paolo Piovano, and Ulisse Stefanelli. Characterization of optimal carbon nanotubes under stretching and validation of the Cauchy-Born rule. Arch. Ration. Mech. Anal., 231(1):465–517, July 2019. doi:10.1007/s00205-018-1284-7.

    $\bullet $ Steffen Dereich and Thomas Müller-Gronbach. General multilevel adaptations for stochastic approximation algorithms of Robbins–Monro and Polyak–Ruppert type. Numer. Math., 142(2):279–328, June 2019. doi:10.1007/s00211-019-01024-y.

    $\bullet $ Christopher Deninger and Anton Mellit. $\mathbb zr$ and rings of Witt vectors $W_S(R)$. Rend. Semin. Mat. Univ. Padova, 142:93–102, June 2019. doi:10.4171/rsmup/32.

    $\bullet $ Thomas Krajewski, Matteo Laudonio, Romain Pascalie, and Adrian Tanasa. Non-Gaussian disorder average in the Sachdev-Ye-Kitaev model. Physical Review D, 99(12):126014, June 2019. doi:10.1103/physrevd.99.126014.

    $\bullet $ Tim de Laat and Federico Vigolo. Superexpanders from group actions on compact manifolds. Geometriae Dedicata, 200(1):287–302, June 2019. doi:10.1007/s10711-018-0371-0.

    $\bullet $ Matthias Löwe and Kristina Schubert. On the limiting spectral density of random matrices filled with stochastic processes. Random Operators and Stochastic Equations, 27(2):89–105, June 2019. doi:10.1515/rose-2019-2008.

    $\bullet $ Olga Varghese. Planarity of Cayley graphs of graph products of groups. Discrete Mathematics, 342(6):1812–1819, June 2019. doi:10.1016/j.disc.2019.02.020.

    $\bullet $ Weinan E, Martin Hutzenthaler, Arnulf Jentzen, and Thomas Kruse. On multilevel Picard numerical approximations for high-dimensional nonlinear parabolic partial differential equations and high-dimensional nonlinear backward stochastic differential equations. Journal of Scientific Computing, 79(3):1534–1571, June 2019. doi:10.1007/s10915-018-00903-0.

    $\bullet $ Christian Engwer, Patrick Henning, Axel Målqvist, and Daniel Peterseim. Efficient implementation of the localized orthogonal decomposition method. Comput. Methods Appl. Mech. Engrg., 350:123–153, June 2019. doi:10.1016/j.cma.2019.02.040.

    $\bullet $ Giuseppe Da Prato, Arnulf Jentzen, and Michael Röckner. A mild Itô formula for SPDEs. Trans. Amer. Math. Soc., 372:3755–3807, June 2019. doi:10.1090/tran/7165.

    $\bullet $ Zakhar Kabluchko. An infinite-dimensional helix invariant under spherical projections. Electron. Commun. Probab., 24:Paper No. 25, 13, June 2019. doi:10.1214/19-ECP234.

    $\bullet $ Eliyahu Rips and Katrin Tent. Sharply 2-transitive groups of characteristic 0. J. Reine Angew. Math., 2019(750):227–238, May 2019. doi:10.1515/crelle-2016-0054.

    $\bullet $ Dana Bartošová and Aleksandra Kwiatkowska. The universal minimal flow of the homeomorphism group of the Lelek fan. Transactions of the American Mathematical Society, 371(10):6995–7027, May 2019. doi:10.1090/tran/7548.

    $\bullet $ Johannes Ebert and Oscar Randal-Williams. Infinite loop spaces and positive scalar curvature in the presence of a fundamental group. Geometry and Topology, 23(3):1549–1610, May 2019. doi:10.2140/gt.2019.23.1549.

    $\bullet $ Manuel Friedrich. A compactness result in $ GSBV^p$ and applications to Gamma-convergence for free discontinuity problems. Calc. Var. PDE, 58(3):86, May 2019. doi:10.1007/s00526-019-1530-3.

    $\bullet $ Eusebio Gardella and Hannes Thiel. Extending representations of Banach algebras to their biduals. Mathematische Zeitschrift, May 2019. doi:10.1007/s00209-019-02315-8.

    $\bullet $ Kyungkeun Kang, Arnd Scheel, and Angela Stevens. Global phase diagrams of run-and-tumble dynamics: equidistribution, waves, and blowup. Nonlinearity, 32(6):2128–2146, May 2019. doi:10.1088/1361-6544/ab046d.

    $\bullet $ Christoph Lehrenfeld and Stephan Rave. Mass conservative reduced order modeling of a free boundary osmotic cell swelling problem. Advances in Computational Mathematics, May 2019. doi:10.1007/s10444-019-09691-z.

    $\bullet $ Olga Varghese. A condition that prevents groups from acting fixed point free on cube complexes. Geometriae Dedicata, 200(1):85–91, May 2019. doi:10.1007/s10711-018-0361-2.

    $\bullet $ Malte Scherff and Katrin Tent. Addendum to sharply 2-transitive groups of characteristic 0. J. Reine Angew. Math., 2019(750):239–240, May 2019. doi:10.1515/crelle-2017-0022.

    $\bullet $ Yannic Bröker and Chiranjib Mukherjee. Quenched central limit theorem for the stochastic heat equation in weak disorder. In Probability and analysis in interacting physical systems, volume 283 of Springer Proc. Math. Stat., pages 173–189. May 2019. doi:10.1007/978-3-030-15338-0_6.

    $\bullet $ Adam Andersson, Mario Hefter, Arnulf Jentzen, and Ryan Kurniawan. Regularity properties for solutions of infinite dimensional Kolmogorov equations in Hilbert spaces. Potential Anal., 50:347–379, May 2019. doi:10.1007/s11118-018-9685-7.

    $\bullet $ Sebastian Becker, Patrick Cheridito, and Arnulf Jentzen. Deep optimal stopping. J. Mach. Learn. Res., 20(74):1–25, April 2019.

    $\bullet $ Joseph G. Conlon and André Schlichting. A non-local problem for the Fokker-Planck equation related to the Becker-Döring model. Discrete Contin. Dyn. Syst., 39(4):1821, April 2019. doi:10.3934/dcds.2019079.

    $\bullet $ Tobias Barthel, Markus Hausmann, Niko Naumann, Thomas Nikolaus, Justin Noel, and Nathaniel Stapleton. The Balmer spectrum of the equivariant homotopy category of a finite abelian group. Inventiones Mathematicae, 216(1):215–240, April 2019. doi:10.1007/s00222-018-0846-5.

    $\bullet $ Laura Brake and Wilhelm Winter. The Toeplitz algebra has nuclear dimension one. Bull. Lond. Math. Soc., 51(3):554–562, April 2019. doi:10.1112/blms.12250.

    $\bullet $ Linus Kramer and Alexander Lytchak. Erratum to: “Homogeneous compact geometries”. Transformation Groups, 24(2):589–596, April 2019. doi:10.1007/s00031-019-09524-9.

    $\bullet $ Luca Lionni and Johannes Thürigen. Multi-critical behaviour of 4-dimensional tensor models up to order 6. Nuclear Physics B, 941:600–635, April 2019. doi:10.1016/j.nuclphysb.2019.02.026.

    $\bullet $ Hannes Thiel. Inductive limits of semiprojective $C^*$-algebras. Advances in Mathematics, 347:597–618, April 2019. doi:10.1016/j.aim.2019.02.030.

    $\bullet $ Zakhar Kabluchko and Hauke Seidel. Distances between zeroes and critical points for random polynomials with i.i.d. zeroes. Electron. J. Probab., 24:Paper No. 34, 25, April 2019. doi:10.1214/19-EJP295.

    $\bullet $ Sebastian Becker, Patrick Cheridito, and Arnulf Jentzen. Deep Optimal Stopping. J. Mach. Learn. Res., 20(74):1–25, April 2019. arXiv:1804.05394.

    $\bullet $ Thomas Nikolaus and Peter Scholze. Correction to “On topological cyclic homology”. Acta Math., 222(1):215–218, March 2019. doi:10.4310/ACTA.2019.v222.n1.a2.

    $\bullet $ Arthur Bartels, Christopher L. Douglas, and André Henriques. Fusion of defects. Memoirs of the American Mathematical Society, 258(1237):vii+100, March 2019. doi:10.1090/memo/1237.

    $\bullet $ Filippo Cagnetti, Gianni Dal Maso, Lucia Scardia, and Caterina Ida Zeppieri. Stochastic homogenisation of free-discontinuity problems. Archive for Rational Mechanics and Analysis, 233(2):935–974, March 2019. doi:10.1007/s00205-019-01372-x.

    $\bullet $ Yatir Halevi, Assaf Hasson, and Franziska Jahnke. A conjectural classification of strongly dependent fields. The Bulletin of Symbolic Logic, 25(2):182–195, March 2019. doi:10.1017/bsl.2019.13.

    $\bullet $ Urs Hartl and Rajneesh Kumar Singh. Local shtukas and divisible local Anderson modules. Canadian Journal of Mathematics, 71(5):1163–1207, March 2019. doi:10.4153/cjm-2018-016-2.

    $\bullet $ Aleksandra Kwiatkowska and Maciej Malicki. Automorphism groups of countable structures and groups of measurable functions. Israel Journal of Mathematics, 230(1):335–360, March 2019. doi:10.1007/s11856-018-1825-7.

    $\bullet $ Michael S. Weiss. Truncated operads and simplicial spaces. Tunisian Journal of Mathematics, 1(1):109–126, March 2019. doi:10.2140/tunis.2019.1.109.

    $\bullet $ Harald Grosse and Raimar Wulkenhaar. How Prof. Zeidler supported our research on exact solution of quantum field theory toy models. Vietnam J. Math., 47(1):93–112, March 2019. doi:10.1007/s10013-018-0302-2.

    $\bullet $ Kristin Courtney and Tatiana Shulman. Elements of $C^*$-algebras attaining their norm in a finite-dimensional representation. Canad. J. Math, 71(1):93–111, February 2019. doi:10.4153/CJM-2017-040-x.

    $\bullet $ Peter Eichelsbacher and Matthias Löwe. Lindeberg's method for moderate deviations and random summation. Journal of Theoretical Probability, 32(2):872–897, February 2019. doi:10.1007/s10959-019-00881-5.

    $\bullet $ Julian Feinauer, Simon Hein, Stephan Rave, Sebastian Schmidt, Daniel Westhoff, Jochen Zausch, Oleg Iliev, Arnulf Latz, Mario Ohlberger, and Volker Schmidt. MULTIBAT: Unified workflow for fast electrochemical 3D simulations of lithium-ion cells combining virtual stochastic microstructures, electrochemical degradation models and model order reduction. Journal of Computational Science, 31:172–184, February 2019. doi:10.1016/j.jocs.2018.03.006.

    $\bullet $ Vladimir Berkovich, Walter Gubler, Peter Schneider, and Annette Werner. Non-Archimedean geometry and applications. Oberwolfach Rep., 16(1):513–575, February 2019. doi:10.4171/OWR/2019/8.

    $\bullet $ Eusebio Gardella and Hannes Thiel. Representations of $p$-convolution algebras on $L^q$-spaces. Transactions of the American Mathematical Society, 371(3):2207–2236, February 2019. doi:10.1090/tran/7489.

    $\bullet $ Stefan Hain, Mario Ohlberger, Mladjan Radic, and Karsten Urban. A hierarchical a posteriori error estimator for the Reduced Basis Method. Advances in Computational Mathematics, 45(5-6):2191–2214, February 2019. doi:10.1007/s10444-019-09675-z.

    $\bullet $ Zakhar Kabluchko, Vladislav Vysotsky, and Dmitry Zaporozhets. A multidimensional analogue of the arcsine law for the number of positive terms in a random walk. Bernoulli, 25(1):521–548, February 2019. doi:10.3150/17-bej996.

    $\bullet $ Julian Grote, Zakhar Kabluchko, and Christoph Thäle. Limit theorems for random simplices in high dimensions. ALEA Lat. Am. J. Probab. Math. Stat., 16(1):141–177, February 2019. doi:10.30757/alea.v16-06.

    $\bullet $ Zakhar Kabluchko, Joscha Prochno, and Christoph Thäle. High-dimensional limit theorems for random vectors in $\ell _p^n$-balls. Commun. Contemp. Math., 21(1):1750092, 30, February 2019. doi:10.1142/S0219199717500924.

    $\bullet $ Zakhar Kabluchko and Dmitry Zaporozhets. Expected volumes of Gaussian polytopes, external angles, and multiple order statistics. Trans. Amer. Math. Soc., 372(3):1709–1733, February 2019. doi:10.1090/tran/7708.

    $\bullet $ Patrick W. Dondl, Matteo Novaga, Benedikt Wirth, and Stephan Wojtowytsch. A phase-field approximation of the perimeter under a connectedness constraint. SIAM J. Math. Anal., 51(5):3902–3920, January 2019. doi:10.1137/18M1225197.

    $\bullet $ Karsten Grove, Burkhard Wilking, and Joseph Yeager. Almost non-negative curvature and rational ellipticity in cohomogeneity two. Ann. Inst. Fourier, 69(7):2921–2939, January 2019. doi:10.5802/aif.3340.

    $\bullet $ Hans-Joachim Hein. A Liouville theorem for the complex Monge-Ampère equation on product manifolds. Commun. Pure Appl. Math., 72(1):122–135, January 2019. doi:10.1002/cpa.21751.

    $\bullet $ Behrend Heeren, Martin Rumpf, and Benedikt Wirth. Variational time discretization of Riemannian splines. IMA J. Numer. Anal., 39(1):61–104, January 2019. doi:10.1093/imanum/drx077.

    $\bullet $ Gerold Alsmeyer and Fabian Buckmann. An arcsine law for Markov random walks. Stochastic Processes and their Applications, 129(1):223–239, January 2019. doi:10.1016/j.spa.2018.02.014.

    $\bullet $ Gerold Alsmeyer and Kilian Raschel. The extinction problem for a distylous plant population with sporophytic self-incompatibility. Journal of Mathematical Biology, 78(6):1841–1874, January 2019. doi:10.1007/s00285-019-01328-5.

    $\bullet $ Tuuli Miinalainen, Atena Rezaei, Defne Us, Andreas Nüßing, Christian Engwer, Carsten H. Wolters, and Sampsa Pursiainen. A realistic, accurate and fast source modeling approach for the EEG forward problem. NeuroImage, 184:56 – 67, January 2019. doi:10.1016/j.neuroimage.2018.08.054.

    $\bullet $ Arthur Bartels and Mladen Bestvina. The Farrell-Jones conjecture for mapping class groups. Inventiones Mathematicae, 215(2):651–712, January 2019. doi:10.1007/s00222-018-0834-9.

    $\bullet $ Patrick W. Dondl, Matteo Novaga, Benedikt Wirth, and Stephan Wojtowytsch. A phase-field approximation of the perimeter under a connectedness constraint. SIAM J. Math. Anal., 51(5):3902–3920, January 2019.

    $\bullet $ Joan Bosa, Nathanial P. Brown, Yasuhiko Sato, Aaron Tikuisis, Stuart White, and Wilhelm Winter. Covering dimension of $\rm C^*$-algebras and 2-coloured classification. Mem. Amer. Math. Soc., 257(1233):vii+97, January 2019. doi:10.1090/memo/1233.

    $\bullet $ Julia Brunken, Kathrin Smetana, and Karsten Urban. (Parametrized) first order transport equations: Realization of optimally stable Petrov-Galerkin methods. SIAM Journal on Scientific Computing, 41(1):A592–A621, January 2019. doi:10.1137/18m1176269.

    $\bullet $ Johannes Ebert. Index theory in spaces of manifolds. Mathematische Annalen, 374(1-2):931–962, January 2019. doi:10.1007/s00208-019-01809-4.

    $\bullet $ Zakhar Kabluchko, Daniel Temesvari, and Christoph Thäle. Expected intrinsic volumes and facet numbers of random beta-polytopes. Math. Nachr., 292(1):79–105, January 2019. doi:10.1002/mana.201700255.

    $\bullet $ Xavier Pellet, Lucia Scardia, and Caterina Ida Zeppieri. Homogenization of high-contrast Mumford-Shah energies. SIAM Journal on Mathematical Analysis, 51(3):1696–1729, January 2019. doi:10.1137/18m1189804.

    $\bullet $ Sebastian Becker and Arnulf Jentzen. Strong convergence rates for nonlinearity-truncated Euler-type approximations of stochastic Ginzburg-Landau equations. Stochastic Process. Appl., 129:28–69, January 2019. doi:10.1016/j.spa.2018.02.008.

    $\bullet $ Bernhard Schmitzer and Benedikt Wirth. A framework for Wasserstein-1-type metrics. Journal of Convex Analysis, 26(2):353–396, January 2019.

    $\bullet $ Mario Hefter and Arnulf Jentzen. On arbitrarily slow convergence rates for strong numerical approximations of Cox-Ingersoll-Ross processes and squared Bessel processes. Finance Stoch., 23:139–172, January 2019. doi:10.1007/s00780-018-0375-5.

    $\bullet $ Michael Wiemeler. $S^1$-Equivariant bordism, invariant metrics of positive scalar curvature, and rigidity of elliptic genera. Journal of Topology and Analysis, pages 1–54, January 2019. doi:10.1142/s1793525319500766.

    $\bullet $ Arnulf Jentzen, Diyora Salimova, and Timo Welti. Strong convergence for explicit space-time discrete numerical approximation methods for stochastic Burgers equations. J. Math. Anal. App., 469:661–704, January 2019. doi:10.1016/j.jmaa.2018.09.032.

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  •  Preprints

    2021 - 2020 - 2019

    2022

    $\bullet $ Jan Dobrowolski and Rosario Mennuni. Dependent positive theories and automorphisms of ordered structures. arXiv e-prints, September 2022. arXiv:2209.03944.

    $\bullet $ Darío García and Rosario Mennuni. Model-theoretic dividing lines via posets. arXiv e-prints, September 2022. arXiv:2209.00571.

    $\bullet $ Jan Nienhaus, Peter Petersen, Matthias Wink, and William Wylie. Holonomy restrictions from the curvature operator of the second kind. arXiv e-prints, August 2022. arXiv:2208.13820.

    $\bullet $ Linus Kramer and Markus J. Stroppel. Hodge operators and groups of isometries of diagonalizable symmetric bilinear forms in characteristic two. arXiv e-prints, August 2022. arXiv:2208.11326.

    $\bullet $ Rodrigo Bazaes, Alexander Mielke, and Chiranjib Mukherjee. Stochastic homogenization for Hamilton-Jacobi-Bellman equations on continuum percolation clusters. arXiv e-prints, August 2022. arXiv:2208.07269.

    $\bullet $ Stefan Hoffelner, Paul Larson, Ralf Schindler, and Liuzhen Wu. Forcing axioms and the definability of the nonstationary ideal on $\omega _1$. arXiv e-prints, August 2022. arXiv:2208.05288.

    $\bullet $ Juliane Braunsmann, Marko Rajković, Martin Rumpf, and Benedikt Wirth. Learning low bending and low distortion manifold embeddings: Theory and applications. arXiv e-prints, August 2022. arXiv:2208.10193.

    $\bullet $ Linus Kramer and Markus J. Stroppel. Hodge operators and exceptional isomorphisms between unitary groups. arXiv e-prints, August 2022. arXiv:2208.11044.

    $\bullet $ Martin Hils and Stefan Marian Ludwig. An approximate AKE principle for metric valued fields. arXiv e-prints, August 2022. arXiv:2208.10186.

    $\bullet $ Markus Land, Thomas Nikolaus, and Marco Schlichting. L-theory of $C^*$-algebras. arXiv e-prints, August 2022. arXiv:2208.10556.

    $\bullet $ Patrick Cheridito, Arnulf Jentzen, and Florian Rossmannek. Gradient descent provably escapes saddle points in the training of shallow ReLU networks. arXiv e-prints, August 2022. arXiv:2208.02083.

    $\bullet $ Philip Möller and Olga Varghese. On normal subgroups in automorphism groups. arXiv e-prints, August 2022. arXiv:2208.05677.

    $\bullet $ Volker Branding and Anna Siffert. On p-harmonic self-maps of spheres. arXiv e-prints, August 2022. arXiv:2208.00705.

    $\bullet $ Rufat Badal, Manuel Friedrich, and Joscha Seutter. Existence of quasi-static crack evolution for atomistic systems. arXiv e-prints, July 2022. arXiv:2207.14505.

    $\bullet $ Simon Eberle, Arnulf Jentzen, Adrian Riekert, and Georg Weiss. Normalized gradient flow optimization in the training of ReLU artificial neural networks. arXiv e-prints, July 2022. arXiv:2207.06246.

    $\bullet $ Sergio Conti, Adriana Garroni, and Roberta Marziani. Line-tension limits for line singularities and application to the mixed-growth case. arXiv e-prints, July 2022. arXiv:2207.01526.

    $\bullet $ Oskar Riedler. Closed embedded self-shrinkers of mean curvature flow. arXiv e-prints, July 2022. arXiv:2207.04851.

    $\bullet $ Martin Hils and Rosario Mennuni. Some definable types that cannot be amalgamated. arXiv e-prints, July 2022. arXiv:2207.09787.

    $\bullet $ Martin Holler and Benedikt Wirth. Exact reconstruction and reconstruction from noisy data with anisotropic total variation. arXiv e-prints, July 2022. arXiv:2207.04757.

    $\bullet $ Jan Kruschewski and Farmer Schlutzenberg. On a conjecture about the mouse order for weasels. arXiv e-prints, July 2022. arXiv:2207.06136.

    $\bullet $ Gustav Holzegel and Arick Shao. The bulk-boundary correspondence for the Einstein equations in asymptotically Anti-de Sitter spacetimes. arXiv e-prints, July 2022. arXiv:2207.14217.

    $\bullet $ Carolyn R. Abbott, Sahana Balasubramanya, Sam Payne, and Alexander J. Rasmussen. Valuations, completions, and hyperbolic actions of metabelian groups. arXiv e-prints, July 2022. arXiv:2207.12945.

    $\bullet $ Antonin Monteil, Cyrill B. Muratov, Theresa M. Simon, and Valeriy V. Slastikov. Magnetic skyrmions under confinement. arXiv e-prints, July 2022. arXiv:2208.00058.

    $\bullet $ Philip Dittmann, Franziska Jahnke, Lothar Sebastian Krapp, and Salma Kuhlmann. Definable valuations on ordered fields. arXiv e-prints, June 2022. arXiv:2206.15301.

    $\bullet $ Włodzimierz J. Charatonik, Aleksandra Kwiatkowska, and Robert P. Roe. Projective Fraïssé limits of graphs with confluent epimorphisms. arXiv e-prints, June 2022. arXiv:2206.12400.

    $\bullet $ Roberta Marziani. Γ-convergence and stochastic homogenisation of phase-transition functionals. arXiv e-prints, June 2022. arXiv:2206.13131.

    $\bullet $ Jan Nienhaus, Peter Petersen, and Matthias Wink. Betti numbers and the curvature operator of the second kind. arXiv e-prints, June 2022. arXiv:2206.14218.

    $\bullet $ Arnulf Jentzen and Timo Kröger. On bounds for norms of reparameterized ReLU artificial neural network parameters: sums of fractional powers of the Lipschitz norm control the network parameter vector. arXiv e-prints, June 2022. arXiv:2206.13646.

    $\bullet $ Anna Gusakova, Evgeny Spodarev, and Dmitry Zaporozhets. Intrinsic volumes of ellipsoids. arXiv e-prints, June 2022. arXiv:2206.14002.

    $\bullet $ Qi Yao. Mass and expansion of asymptotically conical Kähler metrics. arXiv e-prints, June 2022. arXiv:2206.06505.

    $\bullet $ Lara Beßmann. A recursive description of automorphism groups of inductively constructed polytopes. arXiv e-prints, June 2022. arXiv:2206.03793.

    $\bullet $ Joachim Cuntz. The image of Bott periodicity in cyclic homology. arXiv e-prints, June 2022. arXiv:2206.04396.

    $\bullet $ Georgios Papanikos and Benedikt Wirth. A non-convex variational model for joint polyenergetic CT reconstruction, sensor denoising and material decomposition. arXiv e-prints, June 2022. arXiv:2206.02908.

    $\bullet $ Anna Gusakova, Johannes Heiny, and Christoph Thäle. The volume of random simplices from elliptical distributions in high dimension. arXiv e-prints, June 2022. arXiv:2206.00514.

    $\bullet $ Annika Bach, Teresa Esposito, Roberta Marziani, and Caterina Ida Zeppieri. Gradient damage models for heterogeneous materials. arXiv e-prints, May 2022. arXiv:2205.13966.

    $\bullet $ Zakhar Kabluchko, Daniel Rosen, and Christoph Thäle. Fluctuations of λ-geodesic Poisson hyperplanes in hyperbolic space. arXiv e-prints, May 2022. arXiv:2205.12820.

    $\bullet $ Amandine Escalier. Sofic approximations and optimal quantitative orbit equivalence. arXiv e-prints, May 2022. arXiv:2205.12137.

    $\bullet $ Simone Cecchini, Daniel Räde, and Rudolf Zeidler. Nonnegative scalar curvature on manifolds with at least two ends. arXiv e-prints, May 2022. arXiv:2205.12174.

    $\bullet $ Johannes Branahl and Alexander Hock. Complete solution of the LSZ model via topological recursion. arXiv e-prints, May 2022. arXiv:2205.12166.

    $\bullet $ Julius Lohmann, Bernhard Schmitzer, and Benedikt Wirth. Duality in branched transport and urban planning. arXiv e-prints, May 2022. arXiv:2205.12049.

    $\bullet $ Martin Bays, Omer Ben-Neria, Itay Kaplan, and Pierre Simon. On large externally definable sets in NIP. arXiv e-prints, May 2022. arXiv:2205.11792.

    $\bullet $ Lara Beßmann. Is the right-angled building associated to a universal group unique? arXiv e-prints, May 2022. arXiv:2205.08145.

    $\bullet $ Philip Möller. A note on almost negative matrices and Gromov-hyperbolic Coxeter groups. arXiv e-prints, May 2022. arXiv:2205.07791.

    $\bullet $ Fabian Hebestreit, Andrea Lachmann, and Wolfgang Steimle. The localisation theorem for the $\mathrm K$-theory of stable ∞-categories. arXiv e-prints, May 2022. arXiv:2205.06104.

    $\bullet $ Alessandro Carlotto, Mario B. Schulz, and David Wiygul. Infinitely many pairs of free boundary minimal surfaces with the same topology and symmetry group. arXiv e-prints, May 2022. arXiv:2205.04861.

    $\bullet $ Victor Boussange, Sebastian Becker, Arnulf Jentzen, Benno Kuckuck, and Loïc Pellissier. Deep learning approximations for non-local nonlinear PDEs with Neumann boundary conditions. arXiv e-prints, May 2022. arXiv:2205.03672.

    $\bullet $ Olivier Graf and Gustav Holzegel. Mode stability for the Teukolsky equations on Kerr-anti-de Sitter spacetimes. arXiv e-prints, May 2022. arXiv:2205.02801.

    $\bullet $ Martin Huesmann, Francesco Mattesini, and Dario Trevisan. Wasserstein asymptotics for the empirical measure of fractional Brownian motion on a flat torus. arXiv e-prints, May 2022. arXiv:2205.01025.

    $\bullet $ Bernard Haasdonk, Hendrik Kleikamp, Mario Ohlberger, Felix Schindler, and Tizian Wenzel. A new certified hierarchical and adaptive RB-ML-ROM surrogate model for parametrized PDEs. arXiv e-prints, April 2022. arXiv:2204.13454.

    $\bullet $ Yifei Zhao. Metaplectic group schemes. arXiv e-prints, April 2022. arXiv:2204.00610.

    $\bullet $ Nils-Arne Dreier and Christian Engwer. A hardware-aware and stable orthogonalization framework. arXiv e-prints, April 2022. arXiv:2204.13393.

    $\bullet $ Marco Cicalese, Leonard Kreutz, and Gian Paolo Leonardi. Emergence of Wulff-crystals from atomistic systems on the FCC and HCP lattices. arXiv e-prints, April 2022. arXiv:2204.12892.

    $\bullet $ Manuel Friedrich and Lennart Machill. One-dimensional viscoelastic von Kármán theories derived from nonlinear thin-walled beams. arXiv e-prints, April 2022. arXiv:2204.10032.

    $\bullet $ Linus Kramer. A note on commutators in compact semisimple Lie algebras. arXiv e-prints, April 2022. arXiv:2204.09913.

    $\bullet $ Johannes Branahl and Alexander Hock. A spectral curve for the generation of bipartite maps in topological recursion. arXiv e-prints, April 2022. arXiv:2204.05181.

    $\bullet $ Dennis Wulle. Cohomogeneity one manifolds with quasipositive curvature. arXiv e-prints, April 2022. arXiv:2204.11652.

    $\bullet $ Daria Fokina, Oleg Iliev, Pavel Toktaliev, Ivan Oseledets, and Felix Schindler. On the performance of machine learning methods for breakthrough curve prediction. arXiv e-prints, April 2022. arXiv:2204.11719.

    $\bullet $ Damien Junger. Cohomologie de de Rham du revêtement modéré de l'espace de Drinfeld. arXiv e-prints, April 2022. arXiv:2204.06363.

    $\bullet $ Claudius Heyer. The left adjoint of derived parabolic induction. arXiv e-prints, April 2022. arXiv:2204.11581.

    $\bullet $ Christopher Deninger. There is no "Weil-"cohomology theory with real coefficients for arithmetic curves. arXiv e-prints, April 2022. arXiv:2204.02714.

    $\bullet $ Christopher Deninger, Theo Grundhöfer, and Linus Kramer. Weyl tensors, strongly regular graphs, multiplicative characters, and a quadratic matrix equation. arXiv e-prints, April 2022. arXiv:2204.02706.

    $\bullet $ Benjamin Antieau, Achim Krause, and Thomas Nikolaus. On the K-theory of $\mathbb Z/p^n$ – announcement. arXiv e-prints, April 2022. arXiv:2204.03420.

    $\bullet $ Arthur Bartels and Wolfgang Lueck. On the algebraic K-theory of Hecke algebras. arXiv e-prints, April 2022. arXiv:2204.07982.

    $\bullet $ Anna Gusakova, Matthias Reitzner, and Christoph Thäle. Variance expansion and Berry-Esseen bound for the number of vertices of a random polygon in a polygon. arXiv e-prints, April 2022. arXiv:2204.11316.

    $\bullet $ David Meyer and Christian Seis. Propagation of regularity for transport equations. a Littlewood-Paley approach. arXiv e-prints, March 2022. arXiv:2203.10860.

    $\bullet $ Jesse Chan, Hendrik Ranocha, Andres Rueda-Ramirez, Gregor Gassner, and Tim Warburton. On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows. arXiv e-prints, March 2022. arXiv:2203.10238.

    $\bullet $ Tim Keil and Mario Ohlberger. A relaxed localized trust-region reduced basis approach for optimization of multiscale problems. arXiv e-prints, March 2022. arXiv:2203.09964.

    $\bullet $ Florian Besau, Anna Gusakova, Matthias Reitzner, Carsten Schütt, Christoph Thäle, and Elisabeth Werner. Spherical convex hull of random points on a wedge. arXiv e-prints, March 2022. arXiv:2203.07916.

    $\bullet $ Hendrik Kleikamp, Mario Ohlberger, and Stephan Rave. Nonlinear model order reduction using diffeomorphic transformations of a space-time domain. arXiv e-prints, March 2022. arXiv:2203.05833.

    $\bullet $ Stefano Ceci and Christian Seis. On the dynamics of vortices in viscous 2D flows. arXiv e-prints, March 2022. arXiv:2203.07185.

    $\bullet $ Julia Schleuß, Kathrin Smetana, and Lukas ter Maat. Randomized quasi-optimal local approximation spaces in time. arXiv e-prints, March 2022. arXiv:2203.06276.

    $\bullet $ Shuyu Dong, Bin Gao, Wen Huang, and Kyle A. Gallivan. On the analysis of optimization with fixed-rank matrices: a quotient geometric view. arXiv e-prints, March 2022. arXiv:2203.06765.

    $\bullet $ Zakhar Kabluchko. Lee-Yang zeroes of the Curie-Weiss ferromagnet, unitary Hermite polynomials, and the backward heat flow. arXiv e-prints, March 2022. arXiv:2203.05533.

    $\bullet $ Mark A. Peletier and André Schlichting. Cosh gradient systems and tilting. arXiv e-prints, March 2022. arXiv:2203.05435.

    $\bullet $ Johannes Ebert and Jens Reinhold. Some rational homology computations for diffeomorphisms of odd-dimensional manifolds. arXiv e-prints, March 2022. arXiv:2203.03414.

    $\bullet $ Tim Keil, Hendrik Kleikamp, Rolf J Lorentzen, Micheal B Oguntola, and Mario Ohlberger. Adaptive machine learning based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery. arXiv e-prints, March 2022. arXiv:2203.01674.

    $\bullet $ Jeroen Winkel. Cycles in graphs with geometric property (T). arXiv e-prints, March 2022. arXiv:2203.01613.

    $\bullet $ Denis Nardin and Jay Shah. Parametrized and equivariant higher algebra. arXiv e-prints, March 2022. arXiv:2203.00072.

    $\bullet $ Jens Niklas Eberhardt and Jakob Scholbach. Integral motivic sheaves and geometric representation theory. arXiv e-prints, March 2022. arXiv:2202.11477.

    $\bullet $ Amandine Escalier. Building prescribed quantitative orbit equivalence with the group of integers. arXiv e-prints, February 2022. arXiv:2202.10312.

    $\bullet $ Philip Möller and Olga Varghese. A note on semicompleteness of graph products of abelian groups. arXiv e-prints, February 2022. arXiv:2202.10083.

    $\bullet $ Arielle Leitner and Federico Vigolo. An invitation to coarse groups. arXiv e-prints, February 2022. arXiv:2203.08591.

    $\bullet $ Giles Gardam, Dawid Kielak, and Alan D. Logan. The surface group conjectures for groups with two generators. arXiv e-prints, February 2022. arXiv:2202.11093.

    $\bullet $ Bin Gao, Simon Vary, Pierre Ablin, and P. -A. Absil. Optimization flows landing on the Stiefel manifold. arXiv e-prints, February 2022. arXiv:2202.09058.

    $\bullet $ David Kerr and Hanfeng Li. Entropy, virtual Abelianness, and Shannon orbit equivalence. arXiv e-prints, February 2022. arXiv:2202.10795.

    $\bullet $ Zakhar Kabluchko, Alexander Marynych, and Ilya Molchanov. Generalised convexity with respect to families of affine maps. arXiv e-prints, February 2022. arXiv:2202.07887.

    $\bullet $ Shokhrukh Ibragimov, Arnulf Jentzen, Timo Kröger, and Adrian Riekert. On the existence of infinitely many realization functions of non-global local minima in the training of artificial neural networks with ReLU activation. arXiv e-prints, February 2022. arXiv:2202.11481.

    $\bullet $ Manuel Friedrich, Leonard Kreutz, and Konstantinos Zemas. From atomistic systems to linearized continuum models for elastic materials with voids. arXiv e-prints, February 2022. arXiv:2202.05018.

    $\bullet $ Sebastian Becker, Arnulf Jentzen, Marvin S. Müller, and Philippe von Wurstemberger. Learning the random variables in Monte Carlo simulations with stochastic gradient descent: Machine learning for parametric PDEs and financial derivative pricing. arXiv e-prints, February 2022. arXiv:2202.02717.

    $\bullet $ Piotr Wozniak. Stochastic homogenisation of nonconvex functionals in the space of $\mathbb A$-weakly differentiable maps. arXiv e-prints, February 2022. arXiv:2202.01526.

    $\bullet $ Peter Schneider and Claus Sorensen. Duals in natural characteristic. arXiv e-prints, February 2022. arXiv:2202.01800.

    $\bullet $ Damien Junger. Équations pour le premier revêtement de l'espace symétrique de Drinfeld. arXiv e-prints, February 2022. arXiv:2202.01018.

    $\bullet $ Beomjun Choi, Robert J. McCann, and Christian Seis. Asymptotics near extinction for nonlinear fast diffusion on a bounded domain. arXiv e-prints, February 2022. arXiv:2202.02769.

    $\bullet $ Iakovos Androulidakis, Omar Mohsen, and Robert Yuncken. A pseudodifferential calculus for maximally hypoelliptic operators and the Helffer-Nourrigat conjecture. arXiv e-prints, January 2022. arXiv:2201.12060.

    $\bullet $ Philip Möller, Luis Paris, and Olga Varghese. On parabolic subgroups of Artin groups. arXiv e-prints, January 2022. arXiv:2201.13044.

    $\bullet $ Omar Mohsen. On the index of maximally hypoelliptic differential operators. arXiv e-prints, January 2022. arXiv:2201.13049.

    $\bullet $ Víctor Navarro-Fernández and André Schlichting. Error estimates for a finite volume scheme for advection-diffusion equations with rough coefficients. arXiv e-prints, January 2022. arXiv:2201.10411.

    $\bullet $ Athanasios Chatzikaleas and Arick Shao. A gauge-invariant unique continuation criterion for waves in asymptotically anti-de Sitter spacetimes. arXiv e-prints, January 2022. arXiv:2201.06010.

    $\bullet $ Giovanni Bellettini, Roberta Marziani, and Riccardo Scala. A non-parametric plateau problem with partial free boundary. arXiv e-prints, January 2022. arXiv:2201.06145.

    $\bullet $ Hendrik Ranocha. A note on numerical fluxes conserving Harten's entropies for the compressible Euler equations. arXiv e-prints, January 2022. arXiv:2201.03946.

    $\bullet $ Athanasios Chatzikaleas and Jacques Smulevici. Non-linear periodic waves on the Einstein cylinder. arXiv e-prints, January 2022. arXiv:2201.05447.

    $\bullet $ Eusebio Gardella, Shirly Geffen, Julian Kranz, and Petr Naryshkin. Classifiability of crossed products by nonamenable groups. arXiv e-prints, January 2022. arXiv:2201.03409.

    $\bullet $ Ronan J. Conlon and Hans-Joachim Hein. Classification of asymptotically conical Calabi-Yau manifolds. arXiv e-prints, January 2022. arXiv:2201.00870.

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    2021

    $\bullet $ Nils R. Winter, Ramona Leenings, Jan Ernsting, Kelvin Sarink, Lukas Fisch, Daniel Emden, Julian Blanke, Janik Goltermann, Nils Opel, Carlotta Barkhau, Susanne Meinert, Katharina Dohm, Jonathan Repple, Marco Mauritz, Marius Gruber, Elisabeth J. Leehr, Dominik Grotegerd, Ronny Redlich, Andreas Jansen, Igor Nenadic, Markus Nöthen, Andreas Forstner, Marcella Rietschel, Joachim Groß, Jochen Bauer, Walter Heindel, Till Andlauer, Simon Eickhoff, Tilo Kircher, Udo Dannlowski, and Tim Hahn. More alike than different: Quantifying deviations of brain structure and function in major depressive disorder across neuroimaging modalities. arXiv e-prints, December 2021. arXiv:2112.10730.

    $\bullet $ Hendrik Ranocha, Michael Schlottke-Lakemper, Jesse Chan, Andrés M. Rueda-Ramírez, Andrew R. Winters, Florian Hindenlang, and Gregor J. Gassner. Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for conservation laws. arXiv e-prints, December 2021. arXiv:2112.10517.

    $\bullet $ J. D. Quigley and Jay Shah. On the equivalence of two theories of real cyclotomic spectra. arXiv e-prints, December 2021. arXiv:2112.07462.

    $\bullet $ Julian Kranz and Timo Siebenand. Partial tensor-product functors and crossed-product functors. arXiv e-prints, December 2021. arXiv:2112.04164.

    $\bullet $ Pablo Cubides Kovacsics, Martin Hils, and Jinhe Ye. Beautiful pairs. arXiv e-prints, December 2021. arXiv:2112.00651.

    $\bullet $ Zakhar Kabluchko. Repeated differentiation and free unitary Poisson process. arXiv e-prints, December 2021. arXiv:2112.14729.

    $\bullet $ Martin Hutzenthaler, Arnulf Jentzen, Katharina Pohl, Adrian Riekert, and Luca Scarpa. Convergence proof for stochastic gradient descent in the training of deep neural networks with ReLU activation for constant target functions. arXiv e-prints, December 2021. arXiv:2112.07369.

    $\bullet $ Martin Holler, Alexander Schlüter, and Benedikt Wirth. Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space. arXiv e-prints, December 2021. arXiv:2112.09743.

    $\bullet $ Tim Hahn, Hamidreza Jamalabadi, Erfan Nozari, Nils R. Winter, Jan Ernsting, Marius Gruber, Marco J. Mauritz, Pascal Grumbach, Lukas Fisch, Ramona Leenings, Kelvin Sarink, Julian Blanke, Leon Kleine Vennekate, Daniel Emden, Nils Opel, Dominik Grotegerd, Verena Enneking, Susanne Meinert, Tiana Borgers, Melissa Klug, Elisabeth J. Leehr, Katharina Dohm, Walter Heindel, Joachim Gross, Udo Dannlowski, Ronny Redlich, and Jonathan Repple. Towards a network control theory of electroconvulsive therapy response. arXiv e-prints, December 2021. arXiv:2112.07408.

    $\bullet $ Claudio Gorodski, Andreas Kollross, and Burkhard Wilking. Actions on positively curved manifolds and boundary in the orbit space. arXiv e-prints, December 2021. arXiv:2112.00513.

    $\bullet $ Giles Gardam, Dawid Kielak, and Alan D. Logan. Algebraically hyperbolic groups. arXiv e-prints, December 2021. arXiv:2112.01331.

    $\bullet $ Antonio Esposito, Rishabh S. Gvalani, André Schlichting, and Markus Schmidtchen. On a novel gradient flow structure for the aggregation equation. arXiv e-prints, December 2021. arXiv:2112.08317.

    $\bullet $ Renato G. Bettiol and Anusha M. Krishnan. Ricci flow does not preserve positive sectional curvature in dimension four. arXiv e-prints, December 2021. arXiv:2112.13291.

    $\bullet $ Pierfrancesco Beneventano, Patrick Cheridito, Robin Graeber, Arnulf Jentzen, and Benno Kuckuck. Deep neural network approximation theory for high-dimensional functions. arXiv e-prints, December 2021. arXiv:2112.14523.

    $\bullet $ Goulnara Arzhantseva, Dawid Kielak, Tim de Laat, and Damian Sawicki. Origami expanders. arXiv e-prints, December 2021. arXiv:2112.11864.

    $\bullet $ Arnulf Jentzen and Adrian Riekert. On the existence of global minima and convergence analyses for gradient descent methods in the training of deep neural networks. arXiv e-prints, December 2021. arXiv:2112.09684.

    $\bullet $ Simon André. Co-Hopfian virtually free groups and elementary equivalence. arXiv e-prints, December 2021. arXiv:2112.04072.

    $\bullet $ Gideon Amir, Rangel Baldasso, Maria Gerasimova, and Gady Kozma. Fire retainment on Cayley graphs. arXiv e-prints, December 2021. arXiv:2112.08793.

    $\bullet $ Gerold Alsmeyer, Alin Bostan, Kilian Raschel, and Thomas Simon. Persistence for a class of order-one autoregressive processes and Mallows-Riordan polynomials. arXiv e-prints, December 2021. arXiv:2112.03016.

    $\bullet $ Juan Pablo Acosta. One dimensional commutative groups definable in algebraically closed valued fields and in the pseudo-local fields. arXiv e-prints, December 2021. arXiv:2112.00430.

    $\bullet $ Jonas Potthoff and Benedikt Wirth. Optimal fine-scale structures in compliance minimization for a uniaxial load in three space dimensions. arXiv e-prints, November 2021. arXiv:2111.06910.

    $\bullet $ Fernando Lledó and Diego Martínez. A note on commutation relations and finite dimensional approximations. arXiv e-prints, November 2021. arXiv:2111.15221.

    $\bullet $ Finn Bjarne Kohl, Magdalena Larfors, and Paul-Konstantin Oehlmann. F-theory on 6D Symmetric Toroidal Orbifolds. arXiv e-prints, November 2021. arXiv:2111.07998.

    $\bullet $ David I. Ketcheson and Hendrik Ranocha. Computing with B-series. arXiv e-prints, November 2021. arXiv:2111.11680.

    $\bullet $ Tim Keil and Stephan Rave. An online efficient two-scale reduced basis approach for the Localized Orthogonal Decomposition. arXiv e-prints, November 2021. arXiv:2111.08643.

    $\bullet $ Damien Junger. Un autre calcul des fonctions inversibles sur l'espace symétrique de Drinfeld. arXiv e-prints, November 2021. arXiv:2111.10274.

    $\bullet $ Jonas Jalowy. The Wasserstein distance to the circular law. arXiv e-prints, November 2021. arXiv:2111.03595.

    $\bullet $ Hans-Joachim Hein, Song Sun, Jeff Viaclovsky, and Ruobing Zhang. Gravitational instantons and del Pezzo surfaces. arXiv e-prints, November 2021. arXiv:2111.09287.

    $\bullet $ Jan Dobrowolski and Daniel Max Hoffmann. On rank not only in NSOP1 theories. arXiv e-prints, November 2021. arXiv:2111.02389.

    $\bullet $ Johannes Branahl and Alexander Hock. Genus one free energy contribution to the quartic Kontsevich model. arXiv e-prints, November 2021. arXiv:2111.05411.

    $\bullet $ Simon André and Katrin Tent. Simple sharply 2-transitive groups. arXiv e-prints, November 2021. arXiv:2111.09580.

    $\bullet $ Anna Siffert and Jan Wuzyk. A family of free boundary minimal surfaces in the unit ball. arXiv e-prints, October 2021. arXiv:2110.02867.

    $\bullet $ Jay Shah. Recollements and stratification. arXiv e-prints, October 2021. arXiv:2110.06567.

    $\bullet $ Grigor Sargsyan, Ralf Schindler, and Farmer Schlutzenberg. Varsovian models II. arXiv e-prints, October 2021. arXiv:2110.12051.

    $\bullet $ J. D. Quigley and Jay Shah. On the parametrized Tate construction. arXiv e-prints, October 2021. arXiv:2110.07707.

    $\bullet $ Luca Marchetti, Daniele Oriti, Andreas G. A. Pithis, and Johannes Thürigen. Phase transitions in tensorial group field theories: Landau-Ginzburg analysis of models with both local and non-local degrees of freedom. arXiv e-prints, October 2021. arXiv:2110.15336.

    $\bullet $ Manuel Landstorfer, Mario Ohlberger, Stephan Rave, and Marie Tacke. A modeling framework for efficient reduced order simulations of parametrized lithium-ion battery cells. arXiv e-prints, October 2021. arXiv:2110.06011.

    $\bullet $ Zakhar Kabluchko and Joscha Prochno. Large deviations for random matrices in the orthogonal group and Stiefel manifold with applications to random projections of product distributions. arXiv e-prints, October 2021. arXiv:2110.12977.

    $\bullet $ Zakhar Kabluchko. Face numbers of high-dimensional Poisson zero cells. arXiv e-prints, October 2021. arXiv:2110.08201.

    $\bullet $ Martin Hutzenthaler, Arnulf Jentzen, Benno Kuckuck, and Joshua Lee Padgett. Strong $L^p$-error analysis of nonlinear Monte Carlo approximations for high-dimensional semilinear partial differential equations. arXiv e-prints, October 2021. arXiv:2110.08297.

    $\bullet $ Bernard Haasdonk, Mario Ohlberger, and Felix Schindler. An adaptive model hierarchy for data-augmented training of kernel models for reactive flow. arXiv e-prints, October 2021. arXiv:2110.12388.

    $\bullet $ Eusebio Gardella, Ilan Hirshberg, and Andrea Vaccaro. Strongly outer actions of amenable groups on $\mathcal Z$-stable nuclear $C^*$-algebras. arXiv e-prints, October 2021. arXiv:2110.14387.

    $\bullet $ Reto Buzano, Huy The Nguyen, and Mario B. Schulz. Noncompact self-shrinkers for mean curvature flow with arbitrary genus. arXiv e-prints, October 2021. arXiv:2110.06027.

    $\bullet $ Johannes Branahl, Harald Grosse, Alexander Hock, and Raimar Wulkenhaar. From scalar fields on quantum spaces to blobbed topological recursion. arXiv e-prints, October 2021. arXiv:2110.11789.

    $\bullet $ Matteo Perugini. Rigidity of Steiner's inequality for the anisotropic perimeter. arXiv e-prints, September 2021. arXiv:1911.03920.

    $\bullet $ Jay Shah. Parametrized higher category theory II: Universal constructions. arXiv e-prints, September 2021. arXiv:2109.11954.

    $\bullet $ Georg Menz, André Schlichting, Wenpin Tang, and Tianqi Wu. Ergodicity of the infinite swapping algorithm at low temperature. arXiv e-prints, September 2021. arXiv:1811.10174.

    $\bullet $ Julius Lohmann, Bernhard Schmitzer, and Benedikt Wirth. Formulation of branched transport as geometry optimization. arXiv e-prints, September 2021. arXiv:2109.07820.

    $\bullet $ Linus Kramer. Some remarks on proper actions, proper metric spaces, and buildings. arXiv e-prints, September 2021. arXiv:2109.12837.

    $\bullet $ Christopher Kauffman and Hans Lindblad. Global stability of Minkowski space for the Einstein-Maxwell-Klein-Gordon system in generalized wave coordinates. arXiv e-prints, September 2021. arXiv:2109.03270.

    $\bullet $ Kasia Jankiewicz, Annette Karrer, Kim Ruane, and Bakul Sathaye. The boundary rigidity of lattices in products of trees. arXiv e-prints, September 2021. arXiv:2109.09175.

    $\bullet $ Martin Huesmann, Francesco Mattesini, and Felix Otto. There is no stationary cyclically monotone Poisson matching in 2d. arXiv e-prints, September 2021. arXiv:2109.13590.

    $\bullet $ Martin Hils and Silvain Rideau-Kikuchi. Un principe d'Ax-Kochen-Ershov imaginaire. arXiv e-prints, September 2021. arXiv:2109.12189.

    $\bullet $ Thomas Godland, Zakhar Kabluchko, and Christoph Thäle. Beta-star polytopes and hyperbolic stochastic geometry. arXiv e-prints, September 2021. arXiv:2109.01035.

    $\bullet $ Manuel Friedrich, Wojciech Górny, and Ulisse Stefanelli. The double-bubble problem on the square lattice. arXiv e-prints, September 2021. arXiv:2109.01697.

    $\bullet $ Georg Frenck. Sphericity of κ-classes and positive curvature via block bundles. arXiv e-prints, September 2021. arXiv:2109.10306.

    $\bullet $ Alessandro Carlotto and Mario B. Schulz. Minimal hypertori in the four-dimensional sphere. arXiv e-prints, September 2021. arXiv:2109.11768.

    $\bullet $ Stefano Ariotta. Coherent cochain complexes and Beilinson t-structures, with an appendix by Achim Krause. arXiv e-prints, September 2021. arXiv:2109.01017.

    $\bullet $ Gerold Alsmeyer. Linear fractional Galton-Watson processes in random environment and perpetuities. arXiv e-prints, September 2021. arXiv:2109.15007.

    $\bullet $ Hannes Thiel and Eduard Vilalta. Covering dimension of Cuntz semigroups. arXiv e-prints, August 2021. arXiv:2101.04522.

    $\bullet $ Markus Zeggel. The bounded isomorphism conjecture for spaces of graphs with large girth. arXiv e-prints, August 2021. arXiv:2108.09700.

    $\bullet $ Davide Torlo, Philipp Öffner, and Hendrik Ranocha. A new stability approach for positivity-preserving Patankar-type schemes. arXiv e-prints, August 2021. arXiv:2108.07347.

    $\bullet $ Hendrik Ranocha, Michael Schlottke-Lakemper, Andrew R. Winters, Erik Faulhaber, Jesse Chan, and Gregor J. Gassner. Adaptive numerical simulations with Trixi.jl: a case study of Julia for scientific computing. arXiv e-prints, August 2021. arXiv:2108.06476.

    $\bullet $ Shintaro Nishikawa. Crossed product approach to equivariant localization algebras. arXiv e-prints, August 2021. arXiv:2108.11235.

    $\bullet $ Petr Naryshkin. Polynomial growth, comparison, and the small boundary property. arXiv e-prints, August 2021. arXiv:2108.04670.

    $\bullet $ Arnulf Jentzen and Adrian Riekert. A proof of convergence for the gradient descent optimization method with random initializations in the training of neural networks with ReLU activation for piecewise linear target functions. arXiv e-prints, August 2021. arXiv:2108.04620.

    $\bullet $ Martin Hutzenthaler, Arnulf Jentzen, Thomas Kruse, and Tuan Anh Nguyen. Overcoming the curse of dimensionality in the numerical approximation of backward stochastic differential equations. arXiv e-prints, August 2021. arXiv:2108.10602.

    $\bullet $ Martin Hils and Rosario Mennuni. The domination monoid in henselian valued fields. arXiv e-prints, August 2021. arXiv:2108.13999.

    $\bullet $ Claudius Heyer. On the smooth part functor. arXiv e-prints, August 2021. arXiv:2108.05262.

    $\bullet $ Claudius Heyer. On the decomposition of Hecke polynomials over parabolic Hecke algebras. arXiv e-prints, August 2021. arXiv:2108.04535.

    $\bullet $ Anna Gusakova, Zakhar Kabluchko, and Christoph Thäle. The β-Delaunay tessellation IV: mixing properties and central limit theorems. arXiv e-prints, August 2021. arXiv:2108.09472.

    $\bullet $ Xin Fu, Hans-Joachim Hein, and Xumin Jiang. Asymptotics of Kähler-Einstein metrics on complex hyperbolic cusps. arXiv e-prints, August 2021. arXiv:2108.13390.

    $\bullet $ Manuel Friedrich and Lennart Machill. Derivation of a one-dimensional von Kármán theory for viscoelastic ribbons. arXiv e-prints, August 2021. arXiv:2108.05132.

    $\bullet $ Manuel Friedrich, Manuel Seitz, and Ulisse Stefanelli. Tilings with nonflat squares: a characterization. arXiv e-prints, August 2021. arXiv:2108.01954.

    $\bullet $ Monroe Eskew, Sy-David Friedman, Yair Hayut, and Farmer Schlutzenberg. Mutually embeddable models of ZFC. arXiv e-prints, August 2021. arXiv:2108.12355.

    $\bullet $ Siegfried Echterhoff and Mikael Rørdam. Inclusions of $C^*$-algebras arising from fixed-point algebras. arXiv e-prints, August 2021. arXiv:2108.08832.

    $\bullet $ Simon Eberle, Arnulf Jentzen, Adrian Riekert, and Georg S. Weiss. Existence, uniqueness, and convergence rates for gradient flows in the training of artificial neural networks with ReLU activation. arXiv e-prints, August 2021. arXiv:2108.08106.

    $\bullet $ Steffen Dereich and Sebastian Kassing. On minimal representations of shallow ReLU networks. arXiv e-prints, August 2021. arXiv:2108.05643.

    $\bullet $ Christian Clason, Carla Tameling, and Benedikt Wirth. Convex relaxation of discrete vector-valued optimization problems. arXiv e-prints, August 2021. arXiv:2108.10077.

    $\bullet $ Simone Cecchini and Rudolf Zeidler. The positive mass theorem and distance estimates in the spin setting. arXiv e-prints, August 2021. arXiv:2108.11972.

    $\bullet $ Joren Brunekreef, Luca Lionni, and Johannes Thürigen. One-matrix differential reformulation of two-matrix models. arXiv e-prints, August 2021. arXiv:2108.00540.

    $\bullet $ Blaise Boissonneau. Artin-Schreier extensions and combinatorial complexity in henselian valued fields. arXiv e-prints, August 2021. arXiv:2108.12678.

    $\bullet $ Robin Bartlett. Degenerating products of flag varieties and applications to the Breuil–Mezard conjecture. arXiv e-prints, August 2021. arXiv:2108.04094.

    $\bullet $ Carolyn R. Abbott, Sahana Balasubramanya, and Alexander J. Rasmussen. Higher rank confining subsets and hyperbolic actions of solvable groups. arXiv e-prints, August 2021. arXiv:2108.08175.

    $\bullet $ David Kerr and Petr Naryshkin. Elementary amenability and almost finiteness. arXiv e-prints, July 2021. arXiv:2107.05273.

    $\bullet $ Thorben Kastenholz and Jens Reinhold. Essentiality and simplicial volume of manifolds fibered over spheres. arXiv e-prints, July 2021. arXiv:2107.05892.

    $\bullet $ Zakhar Kabluchko. On expected face numbers of random beta and beta' polytopes. arXiv e-prints, July 2021. arXiv:2107.06655.

    $\bullet $ Arnulf Jentzen and Adrian Riekert. Convergence analysis for gradient flows in the training of artificial neural networks with ReLU activation. arXiv e-prints, July 2021. arXiv:2107.04479.

    $\bullet $ Manuel Friedrich, Leonard Kreutz, and Konstantinos Zemas. Geometric rigidity in variable domains and derivation of linearized models for elastic materials with free surfaces. arXiv e-prints, July 2021. arXiv:2107.10808.

    $\bullet $ Johannes Ebert. Diffeomorphisms of odd-dimensional discs, glued into a manifold. arXiv e-prints, July 2021. arXiv:2107.00903.

    $\bullet $ Steffen Dereich and Martin Maiwald. Quasi-processes for branching Markov chains. arXiv e-prints, July 2021. arXiv:2107.06654.

    $\bullet $ Arthur Charpentier, Lariosse Kouakou, Matthias Löwe, Philipp Ratz, and Franck Vermet. Collaborative insurance sustainability and network structure. arXiv e-prints, July 2021. arXiv:2107.02764.

    $\bullet $ Stefano Ceci and Christian Seis. On the dynamics of point vortices for the 2D Euler equation with $L^p$ vorticity. arXiv e-prints, July 2021. arXiv:2107.12820.

    $\bullet $ Ulrich Bunke, Alexander Engel, and Markus Land. Paschke duality and assembly maps. arXiv e-prints, July 2021. arXiv:2107.02843.

    $\bullet $ Volker Branding and Anna Siffert. On the stability of harmonic self-maps of cohomogeneity one manifolds. arXiv e-prints, July 2021. arXiv:2107.03715.

    $\bullet $ Christoph Böhm and Ramiro A. Lafuente. Non-compact Einstein manifolds with symmetry. arXiv e-prints, July 2021. arXiv:2107.04210.

    $\bullet $ Christoph Böhm and Megan M. Kerr. Homogeneous Einstein metrics and butterflies. arXiv e-prints, July 2021. arXiv:2107.06609.

    $\bullet $ Martin Bays, Jan Dobrowolski, and Tingxiang Zou. Elekes-Szabó for groups, and approximate subgroups in weak general position. arXiv e-prints, July 2021. arXiv:2107.05547.

    $\bullet $ Martin Bays, Itay Kaplan, and Pierre Simon. Density of compressible types and some consequences. arXiv e-prints, July 2021. arXiv:2107.05197.

    $\bullet $ Daniel Keppeler, Philip Möller, and Olga Varghese. Automatic continuity for groups whose torsion subgroups are small. arXiv e-prints, June 2021. arXiv:2106.12547.

    $\bullet $ Lee Kennard, Michael Wiemeler, and Burkhard Wilking. Splitting of torus representations and applications in the Grove symmetry program. arXiv e-prints, June 2021. arXiv:2106.14723.

    $\bullet $ Pierre Julg and Shintaro Nishikawa. Slow exponential growth representations of Sp(n, 1) at the edge of Cowling's strip. arXiv e-prints, June 2021. arXiv:2106.10536.

    $\bullet $ Thomas Godland, Zakhar Kabluchko, and Christoph Thäle. Random cones in high dimensions II: Weyl cones. arXiv e-prints, June 2021. arXiv:2106.07244.

    $\bullet $ Steffen Dereich and Sebastian Kassing. Cooling down stochastic differential equations: almost sure convergence. arXiv e-prints, June 2021. arXiv:2106.03510.

    $\bullet $ Antonin Chambolle and Leonard Kreutz. Crystallinity of the homogenized energy density of periodic lattice systems. arXiv e-prints, June 2021. arXiv:2106.08111.

    $\bullet $ Divya Sharma. Tangent spaces to the Teichmueller space from the energy-conscious perspective. arXiv e-prints, May 2021. arXiv:2105.13263.

    $\bullet $ Aristotelis Panagiotopoulos and Assaf Shani. Strong ergodicity phenomena for Bernoulli shifts of bounded algebraic dimension. arXiv e-prints, May 2021. arXiv:2105.04989.

    $\bullet $ Omar Mohsen. A Lichnerowicz theorem for singular foliations using blow-up groupoids. arXiv e-prints, May 2021. arXiv:2105.05201.

    $\bullet $ Laurentiu G. Maxim and Jörg Schürmann. Constructible sheaf complexes in complex geometry and applications. arXiv e-prints, May 2021. arXiv:2105.13069.

    $\bullet $ Agnese Mantione and Rafael Torres. Geography of $4$-manifolds with positive scalar curvature. arXiv e-prints, May 2021. arXiv:2105.12162.

    $\bullet $ Tim de Laat and Safoura Zadeh. Weak*-continuity of invariant means on spaces of matrix coefficients. arXiv e-prints, May 2021. arXiv:2105.12551.

    $\bullet $ Tim Keil and Mario Ohlberger. Model reduction for large scale systems. arXiv e-prints, May 2021. arXiv:2105.01433.

    $\bullet $ Zakhar Kabluchko and Alexander Marynych. Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks. arXiv e-prints, May 2021. arXiv:2105.11365.

    $\bullet $ Michael Goldman and Martin Huesmann. A fluctuation result for the displacement in the optimal matching problem. arXiv e-prints, May 2021. arXiv:2105.02915.

    $\bullet $ Samuel Evington and Sergio Girón Pacheco. Anomalous symmetries of classifiable C*-algebras. arXiv e-prints, May 2021. arXiv:2105.05587.

    $\bullet $ Jan Dobrowolski and Mark Kamsma. Kim-independence in positive logic. arXiv e-prints, May 2021. arXiv:2105.07788.

    $\bullet $ Andrea Bianchi, Florian Kranhold, and Jens Reinhold. Parametrised moduli spaces of surfaces as infinite loop spaces. arXiv e-prints, May 2021. arXiv:2105.05772.

    $\bullet $ Konstantin Ardakov and Peter Schneider. The Bernstein center in natural characteristic. arXiv e-prints, May 2021. arXiv:2105.06128.

    $\bullet $ Gerold Alsmeyer and Alexander Iksanov. Recurrence and transience of random difference equations in the critical case. arXiv e-prints, May 2021. arXiv:2105.04994.

    $\bullet $ Hendrik Ranocha, Lisandro Dalcin, Matteo Parsani, and David I. Ketcheson. Optimized Runge-Kutta methods with automatic step size control for compressible computational fluid dynamics. arXiv e-prints, April 2021. arXiv:2104.06836.

    $\bullet $ Aristotelis Panagiotopoulos and Katrin Tent. Universality vs genericity and C$_4$-free graphs. arXiv e-prints, April 2021. arXiv:2104.13222.

    $\bullet $ Rachel Ollivier and Peter Schneider. On the pro-$p$ Iwahori Hecke Ext-algebra of SL$_2(\mathbb Q_p)$. arXiv e-prints, April 2021. arXiv:2104.13422.

    $\bullet $ Matthias Löwe and Sara Terveer. A central limit theorem for the average target hitting time for a random walk on a random graph. arXiv e-prints, April 2021. arXiv:2104.01053.

    $\bullet $ Arnulf Jentzen and Adrian Riekert. A proof of convergence for stochastic gradient descent in the training of artificial neural networks with ReLU activation for constant target functions. arXiv e-prints, April 2021. arXiv:2104.00277.

    $\bullet $ Alexander Iksanov, Zakhar Kabluchko, and Valeriya Kotelnikova. A functional limit theorem for nested Karlin's occupancy scheme generated by discrete Weibull-like distributions. arXiv e-prints, April 2021. arXiv:2104.06948.

    $\bullet $ Anna Gusakova, Zakhar Kabluchko, and Christoph Thäle. The β-Delaunay tessellation III: Kendall's problem and limit theorems in high dimensions. arXiv e-prints, April 2021. arXiv:2104.07348.

    $\bullet $ Thomas Godland and Zakhar Kabluchko. Positive hulls of random walks and bridges. arXiv e-prints, April 2021. arXiv:2104.05542.

    $\bullet $ Pavel Gavrilenko, Bernard Haasdonk, Oleg Iliev, Mario Ohlberger, Felix Schindler, Pavel Toktaliev, Tizian Wenzel, and Maha Youssef. A full order, reduced order and machine learning model pipeline for efficient prediction of reactive flows. arXiv e-prints, April 2021. arXiv:2104.02800.

    $\bullet $ Marzieh Forough, Eusebio Gardella, and Klaus Thomsen. Equivariant bundles and absorption. arXiv e-prints, April 2021. arXiv:2104.14927.

    $\bullet $ Nils-Arne Dreier. Hardware-oriented krylov methods for high-performance computing. arXiv e-prints, April 2021. arXiv:2104.02494.

    $\bullet $ Mihalis Dafermos, Gustav Holzegel, Igor Rodnianski, and Martin Taylor. The non-linear stability of the Schwarzschild family of black holes. arXiv e-prints, April 2021. arXiv:2104.08222.

    $\bullet $ Tim Clausen and Katrin Tent. Mock hyperbolic reflection spaces and Frobenius groups of finite Morley rank. arXiv e-prints, April 2021. arXiv:2104.10096.

    $\bullet $ Marco Cicalese, Matteo Focardi, and Caterina Ida Zeppieri. Phase-field approximation of functionals defined on piecewise-rigid maps. arXiv e-prints, April 2021. arXiv:2104.00658.

    $\bullet $ Juliane Braunsmann, Marko Rajkovic, Martin Rumpf, and Benedikt Wirth. Learning low bending and low distortion manifold embeddings. arXiv e-prints, April 2021. arXiv:2104.13189.

    $\bullet $ Martin Bays and Jean-François Martin. Incidence bounds in positive characteristic via valuations and distality. arXiv e-prints, April 2021. arXiv:2104.04339.

    $\bullet $ Markus Zeggel. The bounded isomorphism conjecture for box spaces of residually finite groups. arXiv e-prints, March 2021. arXiv:2103.16967.

    $\bullet $ Johannes Thürigen. Renormalization in combinatorially non-local field theories: the BPHZ momentum scheme. arXiv e-prints, March 2021. arXiv:2103.01136.

    $\bullet $ Farmer Schlutzenberg. Local mantles of $L[x]$. arXiv e-prints, March 2021. arXiv:2103.12925.

    $\bullet $ Hoang Kim Nguyen, George Raptis, and Christoph Schrade. Higher weak (co)limits, adjoint functor theorems, and higher Brown representability. arXiv e-prints, March 2021. arXiv:2103.06003.

    $\bullet $ Robert Kropholler, Stefano Vidussi, and Genevieve Walsh. Virtual algebraic fibrations of surface-by-surface groups and orbits of the mapping class group. arXiv e-prints, March 2021. arXiv:2103.06930.

    $\bullet $ Robert Kropholler and Claudio Llosa Isenrich. Dehn functions of coabelian subgroups of direct products of groups. arXiv e-prints, March 2021. arXiv:2103.05093.

    $\bullet $ Grigory Kondyrev, Aaron Mazel-Gee, and Jay Shah. Dualizable objects in stratified categories and the 1-dimensional bordism hypothesis for recollements. arXiv e-prints, March 2021. arXiv:2103.15785.

    $\bullet $ Samuel G. G. Johnston, Zakhar Kabluchko, and Joscha Prochno. Projections of the uniform distribution on the cube – a large deviation perspective. arXiv e-prints, March 2021. arXiv:2103.16430.

    $\bullet $ Jonas Jalowy, Matthias Löwe, and Holger Sambale. Fluctuations of the magnetization in the block Potts model. arXiv e-prints, March 2021. arXiv:2103.16421.

    $\bullet $ Stefan Hoffelner. Forcing the $\Pi ^1_n$-uniformization property. arXiv e-prints, March 2021. arXiv:2103.11748.

    $\bullet $ Alexander Hock and Raimar Wulkenhaar. Blobbed topological recursion of the quartic Kontsevich model II: Genus=0. arXiv e-prints, March 2021. arXiv:2103.13271.

    $\bullet $ Jonas Hirsch and Konstantinos Zemas. A note on a rigidity estimate for degree $\pm 1$ conformal maps on $\mathbb S^2$. arXiv e-prints, March 2021. arXiv:2103.05390.

    $\bullet $ Claudius Heyer. Localization of the parabolic Hecke algebra at a strictly positive element. arXiv e-prints, March 2021. arXiv:2103.16949.

    $\bullet $ Philipp Grohs, Shokhrukh Ibragimov, Arnulf Jentzen, and Sarah Koppensteiner. Lower bounds for artificial neural network approximations: A proof that shallow neural networks fail to overcome the curse of dimensionality. arXiv e-prints, March 2021. arXiv:2103.04488.

    $\bullet $ Martin J. Gander and Stephan Rave. Localized reduced basis additive Schwarz methods. arXiv e-prints, March 2021. arXiv:2103.10884.

    $\bullet $ Marzieh Forough, Eusebio Gardella, and Klaus Thomsen. Asymptotic lifting for completely positive maps. arXiv e-prints, March 2021. arXiv:2103.09176.

    $\bullet $ Patrick Cheridito, Arnulf Jentzen, and Florian Rossmannek. Landscape analysis for shallow ReLU neural networks: complete classification of critical points for affine target functions. arXiv e-prints, March 2021. arXiv:2103.10922.

    $\bullet $ Simone Cecchini and Rudolf Zeidler. Scalar and mean curvature comparison via the Dirac operator. arXiv e-prints, March 2021. arXiv:2103.06833.

    $\bullet $ Martin Brückerhoff and Martin Huesmann. Shadows and barriers. arXiv e-prints, March 2021. arXiv:2103.03620.

    $\bullet $ Christian Beck, Martin Hutzenthaler, Arnulf Jentzen, and Emilia Magnani. Full history recursive multilevel picard approximations for ordinary differential equations with expectations. arXiv e-prints, March 2021. arXiv:2103.02350.

    $\bullet $ Annika Bach, Roberta Marziani, and Caterina Ida Zeppieri. Γ-convergence and stochastic homogenisation of singularly-perturbed elliptic functionals. arXiv e-prints, February 2021. arXiv:2102.09872, doi:10.48550/arXiv.2102.09872.

    $\bullet $ Johannes Thürigen. Renormalization in combinatorially non-local field theories: the Hopf algebra of 2-graphs. arXiv e-prints, February 2021. arXiv:2102.12453.

    $\bullet $ Farmer Schlutzenberg. Full normalization for transfinite stacks. arXiv e-prints, February 2021. arXiv:2102.03359.

    $\bullet $ Barbara Niethammer, Robert L. Pego, André Schlichting, and Juan J. L. Velázquez. Oscillations in a Becker-Döring model with injection and depletion. arXiv e-prints, February 2021. arXiv:2102.06751.

    $\bullet $ Víctor Navarro-Fernández, André Schlichting, and Christian Seis. Optimal stability estimates and a new uniqueness result for advection-diffusion equations. arXiv e-prints, February 2021. arXiv:2102.07759.

    $\bullet $ Jonas McCandless. On curves in K-theory and TR. arXiv e-prints, February 2021. arXiv:2102.08281.

    $\bullet $ Robert Kropholler. Constructing groups of type $FP_2$ over fields but not over the integers. arXiv e-prints, February 2021. arXiv:2102.13509.

    $\bullet $ Zakhar Kabluchko, Andrea Sartori, and Igor Wigman. Expected nodal volume for non-Gaussian random band-limited functions. arXiv e-prints, February 2021. arXiv:2102.11689.

    $\bullet $ Hans-Joachim Hein and Valentino Tosatti. Smooth asymptotics for collapsing calabi-yau metrics. arXiv e-prints, February 2021. arXiv:2102.03978.

    $\bullet $ Giles Gardam. A counterexample to the unit conjecture for group rings. arXiv e-prints, February 2021. arXiv:2102.11818.

    $\bullet $ Steffen Dereich and Sebastian Kassing. Convergence of stochastic gradient descent schemes for Lojasiewicz-landscapes. arXiv e-prints, February 2021. arXiv:2102.09385.

    $\bullet $ Ulrich Bunke, Alexander Engel, and Markus Land. A stable ∞-category for equivariant KK-theory. arXiv e-prints, February 2021. arXiv:2102.13372.

    $\bullet $ Clark Barwick, Saul Glasman, Akhil Mathew, and Thomas Nikolaus. K-theory and polynomial functors. arXiv e-prints, February 2021. arXiv:2102.00936.

    $\bullet $ Gerold Alsmeyer, Sara Brofferio, and Dariusz Buraczewski. Asymptotically linear iterated function systems on the real line. arXiv e-prints, February 2021. arXiv:2102.02299.

    $\bullet $ Arnulf Jentzen and Timo Kröger. Convergence rates for gradient descent in the training of overparameterized artificial neural networks with biases. arXiv e-prints, February 2021. arXiv:2102.11840.

    $\bullet $ Sonja Cox, Martin Hutzenthaler, and Arnulf Jentzen. Local Lipschitz continuity in the initial value and strong completeness for nonlinear stochastic differential equations. arXiv e-prints, February 2021. arXiv:1309.5595.

    $\bullet $ Paul Striewski and Benedikt Wirth. Elastic 3d-2d image registration. arXiv e-prints, January 2021. arXiv:2101.03393.

    $\bullet $ Farmer Schlutzenberg. Background construction for λ-indexed mice. arXiv e-prints, January 2021. arXiv:2101.00889.

    $\bullet $ Adrian Riekert. Wasserstein convergence rate for empirical measures of markov chains. arXiv e-prints, January 2021. arXiv:2101.06936.

    $\bullet $ Stephan Luckhaus and Konstantinos Zemas. Rigidity estimates for isometric and conformal maps from $\mathbb S(n-1)$ to $\mathbb R^n$. arXiv e-prints, January 2021. arXiv:2101.03846.

    $\bullet $ Martin Hils, Ehud Hrushovski, and Pierre Simon. Definable equivariant retractions in non-archimedean geometry. arXiv e-prints, January 2021. arXiv:2101.02619.

    $\bullet $ Anna Gusakova, Zakhar Kabluchko, and Christoph Thäle. The β-Delaunay tessellation II: the Gaussian limit tessellation. arXiv e-prints, January 2021. arXiv:2101.11316.

    $\bullet $ Giles Gardam, Dawid Kielak, and Alan D. Logan. Jsj decompositions and polytopes for two-generator one-relator groups. arXiv e-prints, January 2021. arXiv:2101.02193.

    $\bullet $ Filippo Cagnetti, Gianni Dal Maso, Lucia Scardia, and Caterina Ida Zeppieri. A global method for deterministic and stochastic homogenisation in $BV$. arXiv e-prints, January 2021. arXiv:2101.04174.

    $\bullet $ Martin Burger, Ina Humpert, and Jan-Frederik Pietschmann. Dynamic optimal transport on networks. arXiv e-prints, January 2021. arXiv:2101.03415.

    $\bullet $ Martin Brückerhoff and Nicolas Juillet. Instability of martingale optimal transport in dimension d $\ge $ 2. arXiv e-prints, January 2021. arXiv:2101.06964.

    $\bullet $ Laurent Bétermin, Manuel Friedrich, and Ulisse Stefanelli. Lattice ground states for embedded-atom models in 2d and 3d. arXiv e-prints, January 2021. arXiv:2101.05602.

    $\bullet $ Rodrigo Bazaes, Chiranjib Mukherjee, Alejandro Ramírez, and Santiago Saglietti. The effect of disorder on quenched and averaged large deviations for random walks in random environments: boundary behavior. arXiv e-prints, January 2021. arXiv:2101.04606v3.

    $\bullet $ Becky Armstrong, Gilles G. de Castro, Lisa Orloff Clark, Kristin Courtney, Ying-Fen Lin, Kathryn McCormick, Jacqui Ramagge, Aidan Sims, and Benjamin Steinberg. Reconstruction of twisted Steinberg algebras. arXiv e-prints, January 2021. arXiv:2101.08556.

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    2020

    $\bullet $ Tamir Hemo, Timo Richarz, and Jakob Scholbach. Constructible sheaves on schemes and a categorical Künneth formula. arXiv e-prints, December 2020. arXiv:2012.02853.

    $\bullet $ Hanne Hardering and Benedikt Wirth. Quartic $L^p$-convergence of cubic Riemannian splines. arXiv e-prints, December 2020. arXiv:2012.08289.

    $\bullet $ Farmer Schlutzenberg. Ordinal definability in $L[\mathbb E]$. arXiv e-prints, December 2020. arXiv:2012.07185.

    $\bullet $ Aleksandra Kwiatkowska and Aristotelis Panagiotopoulos. The automorphism group of the random poset does not admit a generic pair. arXiv e-prints, December 2020. arXiv:2012.04376.

    $\bullet $ Samuel Evington. Nuclear dimension of extensions of $\mathcal o_\infty $-stable algebras. arXiv e-prints, December 2020. arXiv:2012.03650.

    $\bullet $ Johannes Ebert and Michael Wiemeler. On the homotopy type of the space of metrics of positive scalar curvature. arXiv e-prints, December 2020. arXiv:2012.00432.

    $\bullet $ Noel Brady, Robert Kropholler, and Ignat Soroko. Homological Dehn functions of groups of type $fp_2$. arXiv e-prints, December 2020. arXiv:2012.00730.

    $\bullet $ Julia Schleuß and Kathrin Smetana. Optimal local approximation spaces for parabolic problems. arXiv e-prints, December 2020. arXiv:2012.02759.

    $\bullet $ Arnulf Jentzen and Adrian Riekert. Strong overall error analysis for the training of artificial neural networks via random initializations. arXiv e-prints, December 2020. arXiv:2012.08443.

    $\bullet $ Pierfrancesco Beneventano, Patrick Cheridito, Arnulf Jentzen, and Philippe von Wurstemberger. High-dimensional approximation spaces of artificial neural networks and applications to partial differential equations. arXiv e-prints, December 2020. arXiv:2012.04326.

    $\bullet $ Christian Beck, Sebastian Becker, Patrick Cheridito, Arnulf Jentzen, and Ariel Neufeld. Deep learning based numerical approximation algorithms for stochastic partial differential equations and high-dimensional nonlinear filtering problems. arXiv e-prints, December 2020. arXiv:2012.01194.

    $\bullet $ Christian Beck, Martin Hutzenthaler, Arnulf Jentzen, and Benno Kuckuck. An overview on deep learning-based approximation methods for partial differential equations. arXiv e-prints, December 2020. arXiv:2012.12348.

    $\bullet $ Julian Kranz. The weak containment problem for étale groupoids which are strongly amenable at infinity. arXiv e-prints, November 2020. arXiv:2011.13852.

    $\bullet $ Dennis Heinig, Tim de Laat, and Timo Siebenand. Group $C^*$-algebras of locally compact groups acting on trees. arXiv e-prints, November 2020. arXiv:2011.11265.

    $\bullet $ Christian Seis and Dominik Winkler. A well-posedness result for a system of cross-diffusion equations. arXiv e-prints, November 2020. arXiv:2011.09186v1.

    $\bullet $ Fabian Hebestreit and Achim Krause. Mapping spaces in homotopy coherent nerves. arXiv e-prints, November 2020. arXiv:2011.09345.

    $\bullet $ Michael Ben-Zvi, Robert Kropholler, and Rylee Alanza Lyman. Folding-like techniques for CAT(0) cube complexes. arXiv e-prints, November 2020. arXiv:2011.05374.

    $\bullet $ Manuel Friedrich, Matteo Perugini, and Francesco Solombrino. Γ-convergence for free-discontinuity problems in linear elasticity: homogenization and relaxation. arXiv e-prints, October 2020. arXiv:2010.05461.

    $\bullet $ Holger Knöpfel, Matthias Löwe, and Holger Sambale. Large deviations and a phase transition in the Block Spin Potts models. arXiv e-prints, October 2020. arXiv:2010.15542.

    $\bullet $ Julia Brunken and Kathrin Smetana. Stable and efficient Petrov-Galerkin methods for a kinetic Fokker-Planck equation. arXiv e-prints, October 2020. arXiv:2010.15784.

    $\bullet $ Olivier Graf. Global nonlinear stability of Minkowski space for spacelike-characteristic initial data. arXiv e-prints, October 2020. arXiv:2010.12434.

    $\bullet $ Claudius Heyer. Parabolic induction via the parabolic pro-$p$ Iwahori–Hecke algebra. arXiv e-prints, October 2020. arXiv:2010.08435v1.

    $\bullet $ Fernando Abadie, Eusebio Gardella, and Shirly Geffen. Partial C*-dynamics and Rokhlin dimension. arXiv e-prints, October 2020. arXiv:2010.03511.

    $\bullet $ Georg Frenck and Jens Reinhold. Spaces of metrics of positive Ricci curvature and bundles with non-multiplicative Â-genus. arXiv e-prints, October 2020. arXiv:2010.04588.

    $\bullet $ Andreas G. A. Pithis and Johannes Thürigen. Phase transitions in TGFT: functional renormalization group in the cyclic-melonic potential approximation and equivalence to O$(N)$ models. arXiv e-prints, September 2020. arXiv:2009.13588v1.

    $\bullet $ Laurent Bétermin, Manuel Friedrich, and Ulisse Stefanelli. Angle-rigidity for $\mathbb z^2$ configurations. arXiv e-prints, September 2020. arXiv:2009.11503v1.

    $\bullet $ Philip Möller and Olga Varghese. Abstract group actions of locally compact groups on CAT(0) spaces. arXiv e-prints, September 2020. arXiv:2009.10470.

    $\bullet $ Jeroen Winkel. Geometric property (T) for non-discrete spaces. arXiv e-prints, September 2020. arXiv:2009.07339.

    $\bullet $ Hannes Thiel. Diffuse traces and Haar unitaries. arXiv e-prints, September 2020. arXiv:2009.06940.

    $\bullet $ Baptiste Calmès, Emanuele Dotto, Yonatan Harpaz, Fabian Hebestreit, Markus Land, Kristian Moi, Denis Nardin, Thomas Nikolaus, and Wolfgang Steimle. Hermitian K-theory for stable ∞-categories II: Cobordism categories and additivity. arXiv e-prints, September 2020. arXiv:2009.07224.

    $\bullet $ Baptiste Calmès, Emanuele Dotto, Yonatan Harpaz, Fabian Hebestreit, Markus Land, Kristian Moi, Denis Nardin, Thomas Nikolaus, and Wolfgang Steimle. Hermitian K-theory for stable ∞-categories I: Foundations. arXiv e-prints, September 2020. arXiv:2009.07223.

    $\bullet $ Baptiste Calmès, Emanuele Dotto, Yonatan Harpaz, Fabian Hebestreit, Markus Land, Kristian Moi, Denis Nardin, Thomas Nikolaus, and Wolfgang Steimle. Hermitian K-theory for stable ∞-categories III: Grothendieck-Witt groups of rings. arXiv e-prints, September 2020. arXiv:2009.07225.

    $\bullet $ Thomas Godland and Zakhar Kabluchko. Projections and angle sums of permutohedra and other polytopes. arXiv e-prints, September 2020. arXiv:2009.04186v1.

    $\bullet $ Stefan Hoffelner. Forcing the $\pi ^1_3$-reduction property. arXiv e-prints, September 2020. arXiv:2009.02209.

    $\bullet $ Martin Hutzenthaler, Arnulf Jentzen, Thomas Kruse, and Tuan Anh Nguyen. Multilevel Picard approximations for high-dimensional semilinear second-order PDEs with Lipschitz nonlinearities. arXiv e-prints, September 2020. arXiv:2009.02484.

    $\bullet $ Christian Beck, Arnulf Jentzen, and Thomas Kruse. Nonlinear Monte Carlo methods with polynomial runtime for high-dimensional iterated nested expectations. arXiv e-prints, September 2020. arXiv:2009.13989.

    $\bullet $ Sigmundur Gudmundsson, Anna Siffert, and Marko Sobak. Explicit proper p-harmonic functions on the Riemannian symmetric spaces SU(n)/SO(n), Sp(n)/U(n), SO(2n)/U(n), SU(2n)/Sp(n). arXiv e-prints, August 2020. arXiv:2008.08555.

    $\bullet $ Zakhar Kabluchko. An identity for the coefficients of characteristic polynomials of hyperplane arrangements. arXiv e-prints, August 2020. arXiv:2008.06719.

    $\bullet $ Tim Clausen. Dp-minimal profinite groups and valuations on the integers. arXiv e-prints, August 2020. arXiv:2008.08797.

    $\bullet $ Johannes Branahl, Alexander Hock, and Raimar Wulkenhaar. Blobbed topological recursion of the quartic Kontsevich model I: Loop equations and conjectures. arXiv e-prints, August 2020. arXiv:2008.12201.

    $\bullet $ Matthias Löwe. Reconstructing a (recurrent) random environment from a single trajectory of Random Walk in Random Environment with errors. arXiv e-prints, August 2020. arXiv:2008.12043.

    $\bullet $ Rudolf Zeidler. Width, largeness and index theory. arXiv e-prints, August 2020. arXiv:2008.13754.

    $\bullet $ Yannic Bröker and Chiranjib Mukherjee. Geometry of the Gaussian multiplicative chaos in the Wiener space. arXiv e-prints, August 2020. arXiv:2008.04290.

    $\bullet $ Achim Krause. The Picard group in equivariant homotopy theory via stable module categories. arXiv e-prints, August 2020. arXiv:2008.05551.

    $\bullet $ Weinan E, Jiequn Han, and Arnulf Jentzen. Algorithms for solving high dimensional PDEs: from nonlinear Monte Carlo to machine learning. arXiv e-prints, August 2020. arXiv:2008.13333.

    $\bullet $ Sigmundur Gudmundsson, Anna Siffert, and Marko Sobak. Explicit p-harmonic functions on rank-one Lie groups of Iwasawa type. arXiv e-prints, July 2020. arXiv:2007.14157.

    $\bullet $ Christian Seis and Emil Wiedemann. On the vanishing viscosity limit for 2D incompressible flows with unbounded vorticity. arXiv e-prints, July 2020. arXiv:2007.01091.

    $\bullet $ Andreas G. A. Pithis and Johannes Thürigen. (no) phase transition in tensorial field theory. arXiv e-prints, July 2020. arXiv:2007.08982.

    $\bullet $ Tobias Leibner and Mario Ohlberger. A new coordinate-transformed discretization method for minimum entropy moment approximations of linear kinetic equations. arXiv e-prints, July 2020. arXiv:2007.04467.

    $\bullet $ Zakhar Kabluchko and Joscha Prochno. The maximum entropy principle and volumetric properties of Orlicz balls. arXiv e-prints, July 2020. arXiv:2007.05247v2.

    $\bullet $ Thomas Godland and Zakhar Kabluchko. Angle sums of Schläfli orthoschemes. arXiv e-prints, July 2020. arXiv:2007.02293.

    $\bullet $ Thomas Godland, Zakhar Kabluchko, and Dmitry Zaporozhets. Angle sums of random polytopes. arXiv e-prints, July 2020. arXiv:2007.02590.

    $\bullet $ Aritz Bercher, Lukas Gonon, Arnulf Jentzen, and Diyora Salimova. Weak error analysis for stochastic gradient descent optimization algorithms. arXiv e-prints, July 2020. arXiv:2007.02723.

    $\bullet $ Farmer Schlutzenberg. Extenders under ZF and constructibility of rank-into-rank embeddings. arXiv e-prints, June 2020. arXiv:2006.10574.

    $\bullet $ Martin Brückerhoff, Martin Huesmann, and Nicolas Juillet. Shadow martingales – a stochastic mass transport approach to the peacock problem. arXiv e-prints, June 2020. arXiv:2006.10478.

    $\bullet $ Tim Keil, Luca Mechelli, Mario Ohlberger, Felix Schindler, and Stefan Volkwein. A non-conforming dual approach for adaptive Trust-Region Reduced Basis approximation of PDE-constrained optimization. arXiv e-prints, June 2020. arXiv:2006.09297.

    $\bullet $ Manuel Friedrich, Leonard Kreutz, and Bernd Schmidt. Emergence of rigid polycrystals from atomistic systems with Heitmann-Radin sticky disk energy. arXiv e-prints, June 2020. arXiv:2006.01558.

    $\bullet $ Patrick Cheridito, Arnulf Jentzen, and Florian Rossmannek. Non-convergence of stochastic gradient descent in the training of deep neural networks. arXiv e-prints, June 2020. arXiv:2006.07075.

    $\bullet $ Hannes Thiel. Generators in $\mathcal Z$-stable $C*$-algebras of real rank zero. arXiv e-prints, June 2020. arXiv:2006.08404.

    $\bullet $ Hannes Thiel. The generator rank of subhomogeneous $C*$-algebras. arXiv e-prints, June 2020. arXiv:2006.03624.

    $\bullet $ Farmer Schlutzenberg. Choice principles in local mantles. arXiv e-prints, June 2020. arXiv:2006.01119.

    $\bullet $ Gabriel Goldberg and Farmer Schlutzenberg. Periodicity in the cumulative hierarchy. arXiv e-prints, June 2020. arXiv:2006.01103.

    $\bullet $ Farmer Schlutzenberg. On the consistency of ZF with an elementary embedding from $V_\lambda +2$ into $V_\lambda +2$. arXiv e-prints, June 2020. arXiv:2006.01077.

    $\bullet $ Fabian Hornung, Arnulf Jentzen, and Diyora Salimova. Space-time deep neural network approximations for high-dimensional partial differential equations. arXiv e-prints, June 2020. arXiv:2006.02199.

    $\bullet $ Christopher Deninger. A pro-algebraic fundamental group for topological spaces. arXiv e-prints, May 2020. arXiv:2005.13893.

    $\bullet $ Farmer Schlutzenberg. A weak reflection of Reinhardt by super Reinhardt cardinals. arXiv e-prints, May 2020. arXiv:2005.11111.

    $\bullet $ Anna Gusakova, Zakhar Kabluchko, and Christoph Thäle. The β-Delaunay tessellation I: description of the model and geometry of typical cells. arXiv e-prints, May 2020. arXiv:2005.13875.

    $\bullet $ Sebastian Becker, Ramon Braunwarth, Martin Hutzenthaler, Arnulf Jentzen, and Philippe von Wurstemberger. Numerical simulations for full history recursive multilevel Picard approximations for systems of high-dimensional partial differential equations. arXiv e-prints, May 2020. arXiv:2005.10206v2.

    $\bullet $ Vito Crismale, Manuel Friedrich, and Francesco Solombrino. Integral representation for energies in linear elasticity with surface discontinuities. arXiv e-prints, May 2020. arXiv:2005.06866v1.

    $\bullet $ Anastas Baci, Zakhar Kabluchko, Joscha Prochno, Mathias Sonnleitner, and Christoph Thaele. Limit theorems for random points in a simplex. arXiv e-prints, May 2020. arXiv:2005.04911v1.

    $\bullet $ Zakhar Kabluchko and Christoph Thäle. Faces in random great hypersphere tessellations. arXiv e-prints, May 2020. arXiv:2005.01055.

    $\bullet $ Timo Siebenand. On the ideal structure of the Fourier-Stieltjes algebra of certain groups. arXiv e-prints, May 2020. arXiv:2005.01772.

    $\bullet $ Pierre Touchard. Stably embedded submodels of Henselian valued fields. arXiv e-prints, May 2020. arXiv:2005.02363.

    $\bullet $ André Schlichting and Christian Seis. The Scharfetter–Gummel scheme for aggregation-diffusion equations. arXiv e-prints, April 2020. arXiv:2004.13981.

    $\bullet $ Christian Beck, Martin Hutzenthaler, and Arnulf Jentzen. On nonlinear Feynman-Kac formulas for viscosity solutions of semilinear parabolic partial differential equations. arXiv e-prints, April 2020. arXiv:2004.03389.

    $\bullet $ Karl H. Hofmann and Linus Kramer. On weakly complete universal enveloping algebras of pro-Lie algebras. arXiv e-prints, April 2020. arXiv:2004.11541.

    $\bullet $ Fabian Hebestreit, Markus Land, and Thomas Nikolaus. On the homotopy type of L-spectra of the integers. arXiv e-prints, April 2020. arXiv:2004.06889v1.

    $\bullet $ Thomas Godland and Zakhar Kabluchko. Conical tessellations associated with Weyl chambers. arXiv e-prints, April 2020. arXiv:2004.10466.

    $\bullet $ Georg Frenck. H-space structures on spaces of metrics of positive scalar curvature. arXiv e-prints, April 2020. arXiv:2004.01033v1.

    $\bullet $ Christian Beck, Lukas Gonon, and Arnulf Jentzen. Overcoming the curse of dimensionality in the numerical approximation of high-dimensional semilinear elliptic partial differential equations. arXiv e-prints, March 2020. arXiv:2003.00596v1.

    $\bullet $ Arnulf Jentzen and Timo Welti. Overall error analysis for the training of deep neural networks via stochastic gradient descent with random initialisation. arXiv e-prints, March 2020. arXiv:2003.01291.

    $\bullet $ Matthias Löwe and Sara Terveer. A central limit theorem for the mean starting hitting time for a random walk on a random graph. arXiv e-prints, March 2020. arXiv:2003.13011.

    $\bullet $ Matthias Löwe and Sara Terveer. A central limit theorem for incomplete U-statistics over triangular arrays. arXiv e-prints, March 2020. arXiv:2003.10115.

    $\bullet $ Carolin Dirks and Benedikt Wirth. An adaptive finite element approach for lifted branched transport problems. arXiv e-prints, March 2020. arXiv:2003.13797.

    $\bullet $ Fernando Abadie, Eusebio Gardella, and Shirly Geffen. Decomposable partial actions. arXiv e-prints, March 2020. arXiv:2003.14051.

    $\bullet $ Benjamin Antieau, Akhil Mathew, Matthew Morrow, and Thomas Nikolaus. On the Beilinson fiber square. arXiv e-prints, March 2020. arXiv:2003.12541.

    $\bullet $ Christian Seis. Diffusion limited mixing rates in passive scalar advection. arXiv e-prints, March 2020. arXiv:2003.08794.

    $\bullet $ Zakhar Kabluchko, Daniel Temesvari, and Christoph Thäle. A new approach to weak convergence of random cones and polytopes. arXiv e-prints, March 2020. arXiv:2003.04001.

    $\bullet $ Alcides Buss, Siegfried Echterhoff, and Rufus Willett. Amenability and weak containment for actions of locally compact groups on $C^*$-algebras. arXiv e-prints, March 2020. arXiv:2003.03469.

    $\bullet $ Olga Varghese. Automorphism groups of Coxeter groups do not have Kazhdan's property (T). arXiv e-prints, March 2020. arXiv:2003.04111v1.

    $\bullet $ Manuel Friedrich, Martin Kružík, and Ulisse Stefanelli. Equilibrium of immersed hyperelastic solids. arXiv e-prints, March 2020. arXiv:2003.02358.

    $\bullet $ Timo Richarz and Jakob Scholbach. Tate motives on Witt vector affine flag varieties. arXiv e-prints, March 2020. arXiv:2003.02593.

    $\bullet $ Bachir Bekka and Siegfried Echterhoff. On unitary representations of algebraic groups over local fields. arXiv e-prints, March 2020. arXiv:2003.02297.

    $\bullet $ Stephan Rave and Jens Saak. An instationary thermal-block benchmark model for parametric model order reduction. arXiv e-prints, pages arXiv:2003.00846, March 2020. arXiv:2003.00846v1.

    $\bullet $ Manuel Friedrich and Ulisse Stefanelli. Ripples in graphene: A variational approach. arXiv e-prints, February 2020. arXiv:1802.05053.

    $\bullet $ Zakhar Kabluchko, Matthias Löwe, and Kristina Schubert. Fluctuations for the partition function of Ising models on Erdös-nyi random graphs. arXiv e-prints, February 2020. arXiv:2002.11372.

    $\bullet $ Julio Backhoff, Alexander M. G. Cox, Annemarie Grass, and Martin Huesmann. Switching identities by probabilistic means. arXiv e-prints, February 2020. arXiv:2002.12840.

    $\bullet $ Arthur Bartels and Wolfgang Lueck. Vanishing of Nil-terms and negative K-theory for additive categories. arXiv e-prints, February 2020. arXiv:2002.03412v1.

    $\bullet $ Tim Clausen and Katrin Tent. On the geometry of sharply 2-transitive groups. arXiv e-prints, February 2020. arXiv:2002.05187.

    $\bullet $ Kristin Courtney. Universal $C^*$-algebras with the local lifting property. arXiv e-prints, February 2020. arXiv:2002.02365v1.

    $\bullet $ Emanuele Dotto, Achim Krause, Thomas Nikolaus, and Irakli Patchkoria. Witt vectors with coefficients and characteristic polynomials over non-commutative rings. arXiv e-prints, February 2020. arXiv:2002.01538v1.

    $\bullet $ Manuel Friedrich, Matteo Perugini, and Francesco Solombrino. Lower semicontinuity for functionals defined on piecewise rigid functions and on GSBD. arXiv e-prints, February 2020. arXiv:2002.08133v1.

    $\bullet $ Shirly Geffen. Nuclear dimension of crossed products associated to partial dynamical systems. arXiv e-prints, February 2020. arXiv:2002.03287v1.

    $\bullet $ Xavier Pellet, Lucia Scardia, and Caterina Ida Zeppieri. Stochastic homogenisation of free-discontinuity functionals in random perforated domains. arXiv e-prints, February 2020. arXiv:2002.01389.

    $\bullet $ Farmer Schlutzenberg. Reinhardt cardinals and iterates of $v$. arXiv e-prints, February 2020. arXiv:2002.01215.

    $\bullet $ Arnulf Jentzen, Benno Kuckuck, Thomas Müller-Gronbach, and Larisa Yaroslavtseva. Counterexamples to local Lipschitz and local Hölder continuity with respect to the initial values for additive noise driven SDEs with smooth drift coefficient functions with at most polynomially growing derivatives. arXiv e-prints, January 2020. arXiv:2001.03472.

    $\bullet $ Matteo Laudonio, Romain Pascalie, and Adrian Tanasa. Combinatorial aspects of the Sachdev-Ye-Kitaev model. arXiv e-prints, January 2020. arXiv:2001.11849.

    Back to top

    2019

    $\bullet $ Martin Hutzenthaler, Arnulf Jentzen, and Thomas Kruse. Overcoming the curse of dimensionality in the numerical approximation of parabolic partial differential equations with gradient-dependent nonlinearities. arXiv e-prints, December 2019. arXiv:1912.02571.

    $\bullet $ Sebastian Becker, Patrick Cheridito, and Arnulf Jentzen. Pricing and hedging American-style options with deep learning. arXiv e-prints, December 2019. arXiv:1912.11060.

    $\bullet $ Patrick Cheridito, Arnulf Jentzen, and Florian Rossmannek. Efficient approximation of high-dimensional functions with deep neural networks. arXiv e-prints, December 2019. arXiv:1912.04310.

    $\bullet $ Nils-Arne Dreier and Christian Engwer. Strategies for the vectorized Block Conjugate Gradients method. arXiv e-prints, December 2019. arXiv:1912.11930.

    $\bullet $ Steffen Dereich and Sebastian Kassing. Central limit theorems for stochastic gradient descent with averaging for stable manifolds. arXiv e-prints, December 2019. arXiv:1912.09187.

    $\bullet $ Carolin Dirks, Paul Striewski, Benedikt Wirth, Anne Aalto, Adan Olguin-Olguin, and Erez Raz. A mathematical model for cell polarization in zebrafish primordial germ cells. arXiv e-prints, December 2019. arXiv:1912.08627.

    $\bullet $ Alexander Effland, Behrend Heeren, Martin Rumpf, and Benedikt Wirth. Consistent curvature approximation on Riemannian shape spaces. arXiv e-prints, December 2019. arXiv:1912.07336.

    $\bullet $ Christian Engwer, Iuliu Sorin Pop, and Thomas Wick. Dynamic and weighted stabilizations of the $L$-scheme applied to a phase-field model for fracture propagation. arXiv e-prints, December 2019. arXiv:1912.07096.

    $\bullet $ Georg Frenck. The action of the mapping class group on metrics of positive scalar curvature. arXiv e-prints, December 2019. arXiv:1912.08613.

    $\bullet $ Tim de Laat and Timo Siebenand. Exotic group $C^*$-algebras of simple Lie groups with real rank one. arXiv e-prints, December 2019. arXiv:1912.02128.

    $\bullet $ Jörg Schürmann and Raimar Wulkenhaar. Towards integrability of the quartic analogue of the Kontsevich model. arXiv e-prints, December 2019. arXiv:1912.03979.

    $\bullet $ Christian Seis. A note on the vanishing viscosity limit in the Yudovich class. arXiv e-prints, December 2019. arXiv:1912.07345.

    $\bullet $ Michael B. Giles, Arnulf Jentzen, and Timo Welti. Generalised multilevel Picard approximations. arXiv e-prints, November 2019. arXiv:1911.03188.

    $\bullet $ Lukas Gonon, Philipp Grohs, Arnulf Jentzen, David Kofler, and David Šiška. Uniform error estimates for artificial neural network approximations for heat equations. arXiv e-prints, November 2019. arXiv:1911.09647.

    $\bullet $ Stefan Adams and Chiranjib Mukherjee. Commutative diagram of the Gross-Pitaevskii approximation. arXiv e-prints, November 2019. arXiv:1911.09635.

    $\bullet $ Sylvy Anscombe and Franziska Jahnke. Characterizing NIP henselian fields. arXiv e-prints, November 2019. arXiv:1911.00309.

    $\bullet $ Peter Bastian, Mirco Altenbernd, Nils-Arne Dreier, Christian Engwer, Jorrit Fahlke, René Fritze, Markus Geveler, Dominik Göddeke, Oleg Iliev, Olaf Ippisch, Jan Mohring, Steffen Müthing, Mario Ohlberger, Dirk Ribbrock, Nikolay Shegunov, and Stefan Turek. Exa-Dune – flexible PDE solvers, numerical methods and applications. arXiv e-prints, November 2019.

    $\bullet $ Gilles Bonnet, Zakhar Kabluchko, and Nicola Turchi. Phase transition for the volume of high-dimensional random polytopes. arXiv e-prints, November 2019. arXiv:1911.12696.

    $\bullet $ Friedrich Götze, Zakhar Kabluchko, and Dmitry Zaporozhets. Grassmann angles and absorption probabilities of Gaussian convex hulls. arXiv e-prints, November 2019. arXiv:1911.04184.

    $\bullet $ Martin Hutzenthaler, Arnulf Jentzen, Felix Lindner, and Primož Pušnik. Strong convergence rates on the whole probability space for space-time discrete numerical approximation schemes for stochastic Burgers equations. arXiv e-prints, November 2019. arXiv:1911.01870.

    $\bullet $ Zakhar Kabluchko, Matthias Löwe, and Kristina Schubert. Fluctuations of the magnetization for Ising models on Erdős-nyi random graphs – the regimes of small p and the critical temperature. arXiv e-prints, November 2019. arXiv:1911.10624.

    $\bullet $ Zakhar Kabluchko and Christoph Thaele. The typical cell of a Voronoi tessellation on the sphere. arXiv e-prints, November 2019. arXiv:1911.07221.

    $\bullet $ Gerold Alsmeyer and Chiranjib Mukherjee. On Null-homology and stationary sequences. arXiv e-prints, October 2019. arXiv:1910.07378.

    $\bullet $ Massoud Amini, Siegfried Echterhoff, and Hamed Nikpey. $C^*$-Operator systems and crossed products. arXiv e-prints, October 2019. arXiv:1910.06605.

    $\bullet $ Becky Armstrong, Lisa Orloff Clark, Kristin Courtney, Ying-Fen Lin, Kathryn McCormick, and Jacqui Ramagge. Twisted Steinberg algebras. arXiv e-prints, October 2019. arXiv:1910.13005.

    $\bullet $ Zakhar Kabluchko, Joscha Prochno, and Christoph Thaele. A new look at random projections of the cube and general product measures. arXiv e-prints, October 2019. arXiv:1910.02676.

    $\bullet $ Christan Beck, Arnulf Jentzen, and Benno Kuckuck. Full error analysis for the training of deep neural networks. arXiv e-prints, September 2019. arXiv:1910.00121.

    $\bullet $ Stefan Czimek and Olivier Graf. The canonical foliation on null hypersurfaces in low regularity. arXiv e-prints, September 2019. arXiv:1909.07345.

    $\bullet $ Stefan Czimek and Olivier Graf. The spacelike-characteristic Cauchy problem of general relativity in low regularity. arXiv e-prints, September 2019. arXiv:1909.07355.

    $\bullet $ Gerold Alsmeyer, Zakhar Kabluchko, Alexander Marynych, and Vladislav Vysotsky. How long is the convex minorant of a one-dimensional random walk? arXiv e-prints, September 2019. arXiv:1909.12322.

    $\bullet $ Ramon Antoine, Francesc Perera, Leonel Robert, and Hannes Thiel. Edwards' condition for quasitraces on $C^*$-algebras. arXiv e-prints, September 2019. arXiv:1909.12787.

    $\bullet $ Peter Bastian, Markus Blatt, Andreas Dedner, Nils-Arne Dreier, Christian Engwer, René Fritze, Carsten Gräser, Dominic Kempf, Robert Klöfkorn, Mario Ohlberger, and Oliver Sander. The DUNE framework: Basic concepts and recent developments. arXiv e-prints, September 2019. arXiv:1909.13672.

    $\bullet $ Yemon Choi, Eusebio Gardella, and Hannes Thiel. Rigidity results for $L^p$-operator algebras and applications. arXiv e-prints, September 2019. arXiv:arXiv:1909.03612.

    $\bullet $ Alexander Engel, Christopher Wulff, and Rudolf Zeidler. Slant products on the Higson–Roe exact sequence. arXiv e-prints, September 2019. arXiv:1909.03777.

    $\bullet $ Jörg Fehr, Christian Himpe, Stephan Rave, and Jens Saak. Sustainable research software hand-over. arXiv e-prints, September 2019. arXiv:1909.09469.

    $\bullet $ Karl Heinrich Hofmann and Linus Kramer. Group algebras of compact groups. arXiv e-prints, September 2019. arXiv:1904.00806.

    $\bullet $ Zakhar Kabluchko. Angles of random simplices and face numbers of random polytopes. arXiv e-prints, September 2019. arXiv:1909.13335.

    $\bullet $ Filippo Calderoni, Aleksandra Kwiatkowska, and Katrin Tent. Simplicity of the automorphism groups of order and tournament expansions of homogeneous structures. arXiv e-prints, August 2019. arXiv:1908.05249.

    $\bullet $ Harald Grosse, Alexander Hock, and Raimar Wulkenhaar. Solution of the self-dual $\Phi ^4$ QFT-model on four-dimensional Moyal space. arXiv e-prints, August 2019. arXiv:1908.04543.

    $\bullet $ Ina Humpert, Danila Di Meo, Andreas W. Püschel, and Jan-Frederik Pietschmann. On the role of vesicle transport in neurite growth: Modelling and experiments. arXiv e-prints, August 2019. arXiv:1908.02055.

    $\bullet $ Arnd Scheel, Angela Stevens, and Christoph Tenbrock. Signaling gradients in surface dynamics as basis for planarian regeneration. arXiv e-prints, August 2019. arXiv:1908.04253.

    $\bullet $ Sam Shepherd, Giles Gardam, and Daniel J. Woodhouse. Two generalisations of Leighton's Theorem. arXiv e-prints, August 2019. arXiv:1908.00830.

    $\bullet $ Gerold Alsmeyer and Bastien Mallein. A simple method to find all solutions to the functional equation of the smoothing transform. arXiv e-prints, July 2019. arXiv:1907.04111.

    $\bullet $ Stefano Ceci and Christian Seis. Vortex dynamics for 2D Euler flows with unbounded vorticity. arXiv e-prints, July 2019. arXiv:1907.10923.

    $\bullet $ Zakhar Kabluchko. Angles of random simplices with applications to random polytopes. arXiv e-prints, July 2019. arXiv:1907.07534.

    $\bullet $ Achim Krause and Thomas Nikolaus. Bökstedt periodicity and quotients of DVRs. arXiv e-prints, July 2019. arXiv:1907.03477.

    $\bullet $ Jingjia Liu and Matthias Löwe. Moderate deviations for the size of the giant component in a random hypergraph. arXiv e-prints, July 2019. arXiv:1907.07834.

    $\bullet $ David Alonso-Gutiérrez, Florian Besau, Julian Grote, Zakhar Kabluchko, Matthias Reitzner, Christoph Thäle, Beatrice-Helen Vritsiou, and Elisabeth M. Werner. Asymptotic normality for random simplices and convex bodies in high dimensions. arXiv e-prints, June 2019. arXiv:1906.02471.

    $\bullet $ David Asperó and Ralf Schindler. MM++ implies $(*)$. arXiv e-prints, June 2019. arXiv:1906.10213.

    $\bullet $ Rodrigo Bazaes, Chiranjib Mukherjee, Alejandro Ramirez, and Santiago Saglietti. Equality and difference of quenched and averaged large deviation rate functions for random walks in random environments without ballisticity. arXiv e-prints, June 2019. arXiv:1906.05328.

    $\bullet $ Christian Clason, Dirk A. Lorenz, Hinrich Mahler, and Benedikt Wirth. Entropic regularization of continuous optimal transport problems. arXiv e-prints, June 2019. arXiv:1906.01333.

    $\bullet $ Harald Grosse, Alexander Hock, and Raimar Wulkenhaar. Solution of all quartic matrix models. arXiv e-prints, June 2019. arXiv:1906.04600.

    $\bullet $ Zakhar Kabluchko, Joscha Prochno, and Christoph Thäle. High-dimensional limit theorems for random vectors in $l_p^n$-balls. II. arXiv e-prints, June 2019. arXiv:1906.03599.

    $\bullet $ Martin Nitsche, Thomas Schick, and Rudolf Zeidler. Transfer maps in generalized group homology via submanifolds. arXiv e-prints, June 2019. arXiv:1906.01190.

    $\bullet $ Camilla Nobili and Christian Seis. Renormalization and energy conservation for axisymmetric fluid flows. arXiv e-prints, June 2019. arXiv:1906.07400.

    $\bullet $ Farmer Schlutzenberg. The definability of the extender sequence $\mathbb E$ from $\mathbb E \upharpoonright \aleph _1$ in $L[\mathbb E]$. arXiv e-prints, June 2019. arXiv:1906.00276v1.

    $\bullet $ Ramon Antoine, Francesc Perera, and Hannes Thiel. Cuntz semigroups of ultraproduct $C^*$-algebras. arXiv e-prints, May 2019. arXiv:1905.03208.

    $\bullet $ Paolo Antonini, Alcides Buss, Alexander Engel, and Timo Siebenand. Strong Novikov conjecture for low degree cohomology and exotic group $C^*$-algebras. arXiv e-prints, May 2019. arXiv:1905.07730.

    $\bullet $ Arthur Bartels, Christopher L. Douglas, and André Henriques. Conformal nets V: dualizability. arXiv e-prints, May 2019. arXiv:1905.03393.

    $\bullet $ Francis Comets, Clement Cosco, and Chiranjib Mukherjee. Space-time fluctuation of the Kardar-Parisi-Zhang equation in $d\geq 3$ and the Gaussian free field. arXiv e-prints, May 2019. arXiv:1905.03200.

    $\bullet $ Gabriel Fernandes and Ralf Schindler. Tall cardinals in extender models. arXiv e-prints, May 2019. arXiv:1905.10340.

    $\bullet $ Michael Goldman, Martin Huesmann, and Felix Otto. Quantitative linearization results for the Monge-Ampère equation. arXiv e-prints, May 2019. arXiv:1905.09678.

    $\bullet $ Matthias Löwe and Kristina Schubert. Exact recovery in block spin Ising models at the critical line. arXiv e-prints, May 2019. arXiv:1906.00021.

    $\bullet $ Rudolf Zeidler. Band width estimates via the Dirac operator. arXiv e-prints, May 2019. arXiv:1905.08520.

    $\bullet $ Sylvy Anscombe and Franziska Jahnke. The model theory of Cohen rings. arXiv e-prints, April 2019. arXiv:1904.08297.

    $\bullet $ Manuel Friedrich, Martin Kružík, and Jan Valdman. Numerical approximation of von rmán viscoelastic plates. arXiv e-prints, April 2019. arXiv:1904.01951.

    $\bullet $ Manuel Friedrich and Francesco Solombrino. Functionals defined on piecewise rigid functions: Integral representation and Γ-convergence. arXiv e-prints, April 2019. arXiv:1904.06305.

    $\bullet $ Jins de Jong, Alexander Hock, and Raimar Wulkenhaar. Catalan tables and a recursion relation in noncommutative quantum field theory. arXiv e-prints, April 2019. arXiv:1904.11231.

    $\bullet $ Matthias Löwe, Kristina Schubert, and Franck Vermet. Multi-group binary choice with social interaction and a random communication structure - a random graph approach. arXiv e-prints, April 2019. arXiv:1904.11890.

    $\bullet $ Mirko Ebbers and Matthias Löwe. Equi-Energy sampling does not converge rapidly on the Potts model close to the critical temperature. arXiv e-prints, March 2019. arXiv:1904.00394.

    $\bullet $ Harald Grosse, Alexander Hock, and Raimar Wulkenhaar. A Laplacian to compute intersection numbers on M_g,n and correlation functions in NCQFT. arXiv e-prints, March 2019. arXiv:1903.12526.

    $\bullet $ Lars Hesselholt and Thomas Nikolaus. Algebraic $ K $-theory of planar cuspidal curves. arXiv e-prints, March 2019. arXiv:1903.08295.

    $\bullet $ Andre Nies, Philipp Schlicht, and Katrin Tent. Oligomorphic groups are essentially countable. arXiv e-prints, March 2019. arXiv:1903.08436.

    $\bullet $ Paolo Aluffi, Leonardo Mihalcea, Jörg Schürmann, and C. Su. Positivity of Segre-MacPherson classes. arXiv e-prints, February 2019. arXiv:1902.00762.

    $\bullet $ Paolo Aluffi, Leonardo C. Mihalcea, Jörg Schürmann, and Changjian Su. Motivic Chern classes of Schubert cells, Hecke algebras, and applications to Casselman's problem. arXiv e-prints, February 2019. arXiv:1902.10101.

    $\bullet $ Andreas Buhr, Laura Iapichino, Mario Ohlberger, Stephan Rave, Felix Schindler, and Kathrin Smetana. Localized model reduction for parameterized problems. arXiv e-prints, pages 51, February 2019. arXiv:1902.08300.

    $\bullet $ Francis Comets, Clement Cosco, and Chiranjib Mukherjee. Renormalizing the Kardar-Parisi-Zhang equation in $d\geq 3$ in weak disorder. arXiv e-prints, February 2019. arXiv:1902.04104.

    $\bullet $ Manuel Friedrich and Leonard Kreutz. Finite crystallization and Wulff shape emergence for ionic compounds in the square lattice. arXiv e-prints, February 2019. arXiv:1903.00331.

    $\bullet $ Manuel Friedrich and Martin Kružík. Derivation of von rmán plate theory in the framework of three-dimensional viscoelasticity. arXiv e-prints, February 2019. arXiv:1902.10037.

    $\bullet $ Zakhar Kabluchko and Igor Wigman. Asymptotics for the expected number of nodal components for random lemniscates. arXiv e-prints, February 2019. arXiv:1902.08424.

    $\bullet $ Holger Knöpfel, Matthias Löwe, Kristina Schubert, and Arthur Sinulis. Fluctuation results for general block spin Ising models. arXiv e-prints, February 2019. arXiv:1902.02080.

    $\bullet $ Nils Leder and Olga Varghese. On property (T) for automorphism groups of graph products. arXiv e-prints, February 2019. arXiv:1902.04370.

    $\bullet $ Bernhard Schmitzer, Klaus P. Schäfers, and Benedikt Wirth. Dynamic cell imaging in PET with optimal transport regularization. arXiv e-prints, February 2019. arXiv:1902.07521.

    $\bullet $ Benedikt Wirth. Green's function for Poisson's equation and the EEG equation with Neumann boundary condition on $n$-balls. arXiv e-prints, February 2019. arXiv:1902.04130.

    $\bullet $ Martin Bays and Kobi Peterzil. Definability in the group of infinitesimals of a compact Lie group. arXiv e-prints, January 2019. arXiv:1901.10831.

    $\bullet $ Jorge Castillejos, Samuel Evington, Aaron Tikuisis, Stuart White, and Wilhelm Winter. Nuclear dimension of simple C*-algebras. arXiv e-prints, January 2019. arXiv:1901.05853.

    $\bullet $ Yatir Halevi, Assaf Hasson, and Franziska Jahnke. Definable V-topologies, henselianity and NIP. arXiv e-prints, January 2019. arXiv:1901.05920.

    $\bullet $ Zakhar Kabluchko. Expected $f$-vector of the poisson zero polytope and random convex hulls in the half-sphere. arXiv e-prints, January 2019. arXiv:1901.10528.

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