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2025 2024 Borot , Gaëtan , und Wulkenhaar , Raimar . 2024 . „A note on BKP for the Kontsevich matrix model with arbitrary potential . “ Symmetry, Integrability and Geometry: Methods and Applications , Nr. 20 050. doi : 10.3842/SIGMA.2024.050 .Dafermos , M , Holzegel , G , und Rodnianski , I . 2024 . „A scattering theory construction of dynamical vacuum black holes . “ Journal of Differential Geometry , Nr. 126 (2 ) : 633 –740 . doi : 10.4310/jdg/1712344221 .Collingbourne , Sam C. , und Holzegel , Gustav . 2024 . „Uniform Boundedness for Solutions to the Teukolsky Equation on Schwarzschild from Conservation Laws of Linearised Gravity . “ Communications in Mathematical Physics , Nr. 405 138. doi : 10.1007/s00220-024-04999-4 .Cecchini , Simone , Lesourd , Martin , und Zeidler , Rudolf . 2024 . „Positive Mass Theorems for Spin Initial Data Sets With Arbitrary Ends and Dominant Energy Shields . “ International Mathematics Research Notices , Nr. 2024 (9 ) : 7870 –7890 . doi : 10.1093/imrn/rnad315 .Ben Geloun , J , Pithis , A , und Thürigen , J . 2024 . „QFT with Tensorial and Local Degrees of Freedom: Phase Structure from Functional Renormalization . “ Journal of Mathematical Physics , Nr. 65 : 032302 . doi : 10.1063/5.0158724 .Grosse , Harald , Kanomata , Naoyuki , Sako , Akifumi , und Wulkenhaar , Raimar . 2024 . „Relationship between Φ^4-matrix model and N-body harmonic oscillator or Calogero-Moser model . “ Beitrag präsentiert auf der The XXVIII International Conference on Integrable Systems and Quantum Symmetries (ISQS28) , Prague doi : 10.1088/1742-6596/2912/1/012014 .Wiemeler , Michael . 2024 . „On a conjecture of Stolz in the toric case . “ Proceedings of the American Mathematical Society , Nr. 152 (8 ) : 3617 –3621 . doi : 10.1090/proc/16823 .C. , Deninger , Grundhöfer , T. , und Kramer , L. 2024 . „Weil tensors, strongly regular graphs, multiplicative characters, and a qudaratic matrix equation . “ Journal of Algebra , Nr. 656 : 170 –195 . doi : 10.1016/j.jalgebra.2023.08.028 .Ebert , Johannes , und Wiemeler , Michael . 2024 . „On the homotopy type of the space of metrics of positive scalar curvature . “ Journal of the European Mathematical Society , Nr. 26 (9 ) : 3327 –3363 . doi : 10.4171/JEMS/1333 .Böhm , Christoph , Buttsworth , Timothy , und Clarke , Brian . 2024 . „Scalar curvature along Ebin geodesics . “ Journal für die reine und angewandte Mathematik , Nr. 813 : 159 –196 . doi : 10.1515/crelle-2024-0033 .Gardella , Eusebio , Geffen , Shirly , Kranz , Julian , Naryshkin , Petr , und Vaccaro , Andrea . 2024 . „Tracially amenable actions and purely infinite crossed products . “ Mathematische Annalen , Nr. 390 : 3665 –3690 . doi : 10.1007/s00208-024-02833-9 .Aluffi , Paolo , Mihalcea , Leonardo , Schürmann , Jörg , und Su , Changjian . 2024 . „Motivic Chern classes of Schubert cells, Hecke algebras, and applications to Casselman's problem . “ Annales Scientifiques de l'École Normale Supérieure , Nr. 57 (1 ) : 87 –141 . doi : 10.24033/asens.2571 .Wirth , Laura , Kirsten , Katharina , Serpé , Christian , und Greefrath , Gilbert . 2024 . „Strategische Videos zum Beweisen in der Studieneingangsphase – das Projekt ProVie . “ In Lernvideos in der Mathematik – Beiträge zur Abschlusstagung des Projektes studiVEMINTvideos der Universität Paderborn und der TH Köln , herausgegeben von Michael Liebendörfer , Angela Schmitz und Rolf Biehler . N/A : Selbstverlag / Eigenverlag . doi : 10.17170/kobra-2024081810686-127 .Herick , Maria , Joachim , Michael , und Vahrenhold , Jan . 2024 . „Adaptive Approximation of Persistent Homology . “ Journal of Applied and Computational Topology , Nr. 8 (8 ) : 2327 –2366 . doi : 10.1007/s41468-024-00192-7 .Dabeler , Antje , Elkiær , Emilie Mai , Gerasimova , Maria , und de Laat , Tim . 2024 . „Unitary Lp+-representations of almost automorphism groups . “ Comptes Rendus Mathématique , Nr. 362 : 245 –249 . doi : 10.5802/crmath.549 .Heinig , Dennis , de Laat , Tim , und Siebenand , Timo . 2024 . „Group C*-algebras of locally compact groups acting on trees . “ International Mathematics Research Notices , Nr. 2024 (10 ) : 8520 –8539 . doi : 10.1093/imrn/rnad259 .Cappell , Sylvain , Maxim , Laurentiu , Schürmann , Jörg , und Shaneson , Julius . 2024 . „Equivariant toric geometry and Euler-Maclaurin formulae—an overview . “ Revue Roumaine des Mathematiques Pures et Appliquees , Nr. 69 (2 ) : 105 –128 . doi : 10.59277/RRMPA.2024.105.128 .Aluffi , Paolo , Mihalcea , Leonardo , Schürmann , Jörg , und Su , Changjian . 2024 . „From motivic Chern classes of Schubert cells to their Hirzebruch and CSM classes . “ Contemporary Mathematics , Nr. 804 : 1 –52 . doi : 10.1090/conm/804/16110 .Gleason , Ian , und Lourenço , João . 2024 . „Tubular neighborhoods of local models . “ Duke Mathematical Journal , Nr. 173 (4 ) : 723 –743 . doi : 10.1215/00127094-2023-0028 .Haines , Thomas , Lourenço , João , und Richarz , Timo . 2024 . „On the normality of Schubert varieties: remaining cases in positive characteristic . “ Annales Scientifiques de l'École Normale Supérieure , Nr. (4) 57 (3 ) : 895 –959 .Wirth , L , Kirsten , K , Serpé , C , und Greefrath , G . 2024 . „Comparing different types of instructional videos in a flipped proof-based classroom . “ Frontiers in Education , Nr. 9 1438355. doi : 10.3389/feduc.2024.1438355 .Wirth , L , Kirsten , K , Serpé , C , und Greefrath , G . 2024 . „Videos zum Beweisen: Nutzungsverhalten von Studierenden und der Zusammenhang zum Beweisverständnis . “ In Beiträge zum Mathematikunterricht 2024. 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik. , herausgegeben von P Ebers , F Rösken , B Barzel , A Büchter , F Schacht und P Scherer . Münster : Verlag für wissenschaftliche Texte und Medien . doi : 10.37626/GA9783959872782.0 .Conlon , RJ , und Hein , HJ . 2024 . „Classification of asymptotically conical Calabi-Yau manifolds . “ Duke Mathematical Journal , Nr. 173 (5 ) : 947 –1015 . doi : 10.1215/00127094-2023-0030 .Meyer , David , und Seis , Christian . 2024 . „Propagation of regularity for transport equations. A Littlewood-Paley approach . “ Indiana University Mathematics Journal , Nr. 73 (2 ) : 445 –473 .Gardella , Eusebio , Geffen , Shirly , Naryshkin , Petr , und Vaccaro , Andrea . 2024 . „Dynamical comparison and Z-stability for crossed products of simple C*-algebras . “ Advances in Mathematics , Nr. 438 109471. doi : 10.1016/j.aim.2023.109471 .Grosse , Harald , Kanomata , Naoyuki , Sako , Akifumi , und Wulkenhaar , Raimar . 2024 . „Real symmetric Φ^4-matrix model as Calogero-Moser model . “ Letters in Mathematical Physics , Nr. 114 25. doi : 10.1007/s11005-024-01772-5 .2023 Wulle , Dennis . 2023 . „Cohomogeneity one manifolds with quasipositive curvature . “ Mathematische Annalen , Nr. 2023 doi : 10.1007/s00208-023-02766-9 .Aluffi , Paolo , Mihalcea , Leonardo , Schürmann , Jörg , und Su , Changjian . 2023 . „Shadows of characteristic cycles, Verma modules, and positivity of Chern–Schwartz–MacPherson classes of Schubert cells . “ Duke Mathematical Journal , Nr. 172 (17 ) : 3257 –3320 . doi : 10.1215/00127094-2022-0101 .Melong , Fridolin , und Wulkenhaar , Raimar . 2023 . „Generalized Heisenberg-Virasoro algebra and matrix models from quantum algebra . “ Journal of Mathematical Physics , Nr. 64 (7 ) 073505. doi : 10.1063/5.0150975 .Friedrich , Manuel , und Machill , Lennart . 2023 . „One-dimensional viscoelastic von Kármán theories derived from nonlinear thin-walled beams . “ Calculus of Variations and Partial Differential Equations , Nr. 62 (7 ) 190. doi : 10.1007/s00526-023-02525-3 .Deninger , C. 2023 . „A pro-algebraic fundamental group for topological spaces . “ Proceedings of the Steklov Institute of Mathematics , Nr. 320 : 62 –90 . doi : 10.1134/S0081543823010054 .Holzegel , Gustav , und Shao , Arick . 2023 . „The bulk-boundary correspondence for the Einstein equations in asymptotically anti-de Sitter spacetimes . “ Archive for Rational Mechanics and Analysis , Nr. 247 (3 ) 56. doi : 10.1007/s00205-023-01890-9 .Marchetti , L , Oriti , D , Pithis , A , und Thürigen , J . 2023 . „Mean-Field Phase Transitions in TGFT Quantum Gravity . “ Physical Review Letters , Nr. 130 : 141501 . doi : 10.1103/PhysRevLett.130.141501 .Eberle , Simon , Jentzen , Arnulf , Riekert , Adrian , und Weiss , Georg S. 2023 . „Existence, uniqueness, and convergence rates for gradient flows in the training of artificial neural networks with ReLU activation . “ Electronic Research Archive , Nr. 31 (5 ) : 2519 –2554 . doi : 10.3934/era.2023128 .Graf , Olivier , und Holzegel , Gustav . 2023 . „Mode stability results for the Teukolsky equations on Kerr-anti-de Sitter spacetimes . “ Classical and Quantum Gravity , Nr. 40 (4 ) 045003. doi : 10.1088/1361-6382/acb0ac .Holzegel , G , und Kauffman , C . 2023 . „The wave equation on subextremal Kerr spacetimes with small non-decaying first order terms . “ arXiv doi : 10.48550/arXiv.2302.06387 .Holzegel , Gustav . 2023 . „The wave equation on the Schwarzschild spacetime with small non-decaying first-order terms . “ Journal of Hyperbolic Differential Equations , Nr. 20 (4 ) : 825 –834 . doi : 10.1142/S0219891623500273 .Nguyen , Kieu Hieu , und Viehmann , Eva . 2023 . „A Harder-Narasimhan stratification of the B_{dR}^+-Grassmannian . “ Compositio Mathematica , Nr. 159 (4 ) : 711 –745 . doi : 10.1112/S0010437X23007066 .Viehmann , und Eva . 2023 . „On Newton strata in the B_{dR}^+-Grassmannian. “ Duke Mathematical Journal , Nr. 173 (1 ) : 177 –225 . doi : 10.1215/00127094-2024-0005 .Hellmann , Eugen . 2023 . „On the derived category of the Iwahori-Hecke algebra . “ Compositio Mathematica , Nr. 159 (5 ) : 1042 –1110 . doi : 10.1112/s0010437x23007145 .Marchetti , L , Oriti , D , Pithis , A , und Thürigen , J . 2023 . „Phase transitions in TGFT: a Landau-Ginzburg analysis of Lorentzian quantum geometric models . “ Journal of High Energy Physics (JHEP) , Nr. 02 : 074 . doi : 10.1007/JHEP02(2023)074 .Jercher , A , Steinhaus , S , und Thürigen , J . 2023 . „Curvature effects in the spectral dimension of spin foams . “ Physical Review D (PRD) , Nr. 108 : 066011 . doi : 10.1103/PhysRevD.108.066011 .Hartl , Urs , und Viehmann , Eva . 2023 . „The generic fiber of moduli spaces of bounded local G-shtukas . “ Journal of the Institute of Mathematics of Jussieu , Nr. 22 (2 ) : 799 –878 . doi : 10.1017/S1474748021000293 .Deninger , Christopher . 2023 . „Primes, knots and periodic orbits . “ arXiv Deninger , Christopher , und Wibmer , Michael . 2023 . „On the proalgebraic fundamental group of topological spaces and amalgamated products of affine group schemes . “ ArXiv De Bondt , Ben , Vaccaro , Andrea , Velickovic , Boban , und Vignati , Alessandro . 2023 . „Games on AF-algebras . “ International Mathematics Research Notices , Nr. 2023 doi : 10.1093/imrn/rnac313 .Cecchini , Simone , Räde , Daniel , und Zeidler , Rudolf . 2023 . „Nonnegative scalar curvature on manifolds with at least two ends . “ Journal of Topology , Nr. 16 (3 ) : 855 –876 . doi : 10.1112/topo.12303 .Böhm , Christoph , und Lafuente , Ramiro . 2023 . „Non-compact Einstein manifolds with symmetry . “ Journal of the American Mathematical Society , Nr. 36 (3 ) : 591 –651 . doi : 10.1090/jams/1022 .Chakraborty , Sayan , Echterhoff , Siegfried , Kranz , Julian , und Nishikawa , Shintaro . 2023 . „K -theory of noncommutative Bernoulli shifts . “ Mathematische Annalen , Nr. 388 (3 ) doi : 10.1007/s00208-023-02587-w .Kranz , Julian . 2023 . „The weak containment problem for étale groupoids which are strongly amenable at infinity . “ Journal of Operator Theory , Nr. 89 (2 ) doi : 10.7900/jot.2021aug20.2358 .Lourenço , João . 2023 . „Grassmanniennes affines tordues sur les entiers . “ Forum of Mathematics, Sigma , Nr. 11 (12 ) : 1 –65 . doi : 10.1017/fms.2023.30 .Krause , Achim , McCandless , Jonas , und Nikolaus , Thomas . 2023 . „Polygonic spectra and TR with coefficients . “ arXiv doi : 10.48550/arXiv.2302.07686 .Benjamin , Antieau , Achim , Krause , und Thomas , Nikolaus . 2023 . „Prismatic cohomology relative to $\delta$-rings . “ arxiv.org doi : 10.48550/arXiv.2310.12770 .Beck , C , Hutzenthaler , M , Jentzen , A , und Kuckuck , B . 2023 . „An overview on deep learning-based approximation methods for partial differential equations . “ Discrete and Continuous Dynamical Systems - Series B , Nr. 28 (6 ) : 3697 –3746 . doi : 10.3934/dcdsb.2022238 .Jentzen , A , und Riekert , A . 2023 . „Convergence analysis for gradient flows in the training of artificial neural networks with ReLU activation . “ Journal of Mathematical Analysis and Applications , Nr. 517 (2 ) 126601. doi : 10.1016/j.jmaa.2022.126601 .Keil , Tim , und Rave , Stephan . 2023 . „An Online Efficient Two-Scale Reduced Basis Approach for the Localized Orthogonal Decomposition . “ SIAM Journal on Scientific Computing , Nr. 45 (4 ) doi : 10.1137/21M1460016 .Fu , X , Hein , HJ , und Jiang , X . 2023 . „Asymptotics of Kähler-Einstein metrics on complex hyperbolic cusps . “ Calculus of Variations and Partial Differential Equations , Nr. 63 (1 ) 6. doi : 10.1007/s00526-023-02613-4 .Gardella , Eusebio , Geffen , Shirly , Kranz , Julian , und Naryshkin , Petr . 2023 . „Classifiability of crossed products by nonamenable groups . “ Journal für die reine und angewandte Mathematik , Nr. 797 : 285 –312 . doi : 10.1515/crelle-2023-0012/html .Rynne , N , Birtles , G , Bell , J , Pau , Duhlian M , McNeil , S , Mehrpooya , A , Noske , B , Vakeesan , Y , und Bode , M . 2023 . „Complex patch geometry promotes species coexistence through a reverse competition-colonization trade-off . “ Proceedings of the Royal Society B: Biological Sciences , Nr. 290 : 20231554 –20231554 . doi : 10.1098/rspb.2023.1554 .Kranz , Julian . 2023 . „Amenability for actions of étale groupoids on C*-algebras and Fell bundles . “ Transactions of the American Mathematical Society , Nr. 376 (7 ) doi : 10.1090/tran/8909 .Biquard , O , und Hein , HJ . 2023 . „The renormalized volume of a 4-dimensional Ricci-flat ALE space . “ Journal of Differential Geometry , Nr. 123 : 411 –429 . doi : 10.4310/jdg/1683307004 .Grosse , Harald , Hock , Alexander , und Wulkenhaar , Raimar . 2023 . „A Laplacian to compute intersection numbers on M_{g,n} and correlation functions in NCQFT . “ Communications in Mathematical Physics , Nr. 399 : 481 –517 . doi : 10.1007/s00220-022-04557-w .Schürmann , Jörg , und Wulkenhaar , Raimar . 2023 . „An algebraic approach to a quartic analogue of the Kontsevich model . “ Mathematical Proceedings , Nr. 174 (3 ) : 471 –495 . doi : 10.1017/S0305004122000366 .2022 Branahl , Johannes , Grosse , Harald , Hock , Alexander , und Wulkenhaar , Raimar . 2022 . „From scalar fields on quantum spaces to blobbed topological recursion . “ Journal of Physics A: Mathematical and Theoretical , Nr. 55 (42 ) 423001. doi : 10.1088/1751-8121/ac9260 .Escalier , Amandine . 2022 . „Local-to-Global-rigidity of lattices in SLn(K) . “ Annales de l’Institut Fourier , Nr. 72 (5 ) : 1733 –1771 . doi : 10.5802/aif.3490 .Brunekreef , J , Lionni , L , und Thürigen , J . 2022 . „One-matrix differential reformulation of two-matrix models . “ Reviews in Mathematical Physics , Nr. 34 (08 ) : 2250026 . doi : 10.1142/S0129055X2250026X .Branahl , Johannes , Hock , Alexander , und Wulkenhaar , Raimar . 2022 . „Blobbed topological recursion of the quartic Kontsevich model I: Loop equations and conjectures . “ Communications in Mathematical Physics , Nr. 393 : 1529 –1582 . doi : 10.1007/s00220-022-04392-z .de Jong , Jins , Hock , Alexander , und Wulkenhaar , Raimar . 2022 . „Nested Catalan tables and a recurrence relation in noncommutative quantum field theory . “ Annales de l’Institut Henri Poincaré D: Combinatorics, Physics and their Interactions , Nr. 9 (1 ) : 47 –72 . doi : 10.4171/AIHPD/113 .Aluffi , P. , Mihalcea , L. , Schürmann , J. , und Su , C. 2022 . „Positivity of Segre–MacPherson Classes . “ In Facets of Algebraic Geometry: A Collection in Honor of William Fulton's 80th Birthday , herausgegeben von P. Aluffi , D. Anderson , M. Hering , M. Mustaţă und S. Payne . doi : 10.1017/9781108877831.001 .Dafermos , M , Holzegel , G , Rodnianski , I , und Taylor , M . 2022 . „Quasilinear wave equations on asymptotically flat spacetimes with applications to Kerr black holes . “ arXiv doi : 10.48550/arXiv.2212.14093 .Hellmann , Eugen . 2022 . „Density of automorphicpoints in deformation rings of polarized global Galois representations . “ Duke Mathematical Journal , Nr. 171 (13 ) : 2699 –2752 .Hellmann , Eugen , Margerin , Christophe M. , und Schraen , Benjamin . 2022 . „Density of automorphic points in deformation rings of polarized global Galois representations . “ Duke Mathematical Journal , Nr. 171 (13 ) : 2699 –2752 . doi : 10.1215/00127094-2021-0080 .de Laat , T. , und Zadeh , S. 2022 . „Weak*-continuity of invariant means on spaces of matrix coefficients . “ Journal of Mathematical Analysis and Applications , Nr. 506 (2 ) doi : 10.1016/j.jmaa.2021.125669 .de Laat , T. 2022 . „Origami expanders . “ In Oberwolfach Reports E. , Arasteh Rad , und U. , Hartl . 2022 . „Category of C-Motives over Finite Fields . “ Journal of Number Theory , Nr. 232 : 283 –316 .Goertsches , O. , und Wiemeler , M. 2022 . „Non-negatively curved GKM orbifolds . “ Mathematische Zeitschrift , Nr. 300 (2 ) : 2007 –2036 . doi : 10.1007/s00209-021-02853-0 .Tuschmann , W. , und Wiemeler , M. 2022 . „On the topology of moduli spaces of non-negatively curved Riemannian metrics . “ Mathematische Annalen , Nr. 384 : 1629 –1651 . doi : 10.1007/s00208-021-02327-y .Wiemeler , Michael . 2022 . „Smooth classification of locally standard T^k-manifolds . “ Osaka Journal of Mathematics , Nr. 59 (3 ) : 549 –557 .Deninger , C. 2022 . „Dynamical systems for arithmetic schemes . “ , v.3 arXiv doi : 10.1016/j.indag.2024.05.007 .Deninger , C. 2022 . „There is no "Weil-"cohomology theory with real coefficients for arithmetic curves . “ arXiv Abadie , Fernando , Gardella , Eusebio , und Geffen , Shirly . 2022 . „Partial C*-dynamics and Rokhlin dimension . “ Ergodic Theory and Dynamical Systems , Nr. 42 (10 ) : 2991 –3024 . doi : 10.1017/etds.2021.82 .Gardella , Eusebio , Hrishberg , Ilan , und Vaccaro , Andrea . 2022 . „Strongly outer actions of amenable groups on Z-stable nuclear C*-algebras . “ Journal de Mathématiques Pures et Appliquées , Nr. 162 doi : 10.1016/j.matpur.2022.04.003 .Bartels , A. , Douglas , C.L. , Henriques , und A. . 2022 . „Conformal nets V: Dualizability . “ Communications in Mathematical Physics , Nr. 391 (1 ) : 1 –31 . doi : 10.1007/s00220-021-04212-w .Zeidler , R . 2022 . „Band width estimates via the Dirac operator . “ Journal of Differential Geometry , Nr. 122 (1 ) : 155 –183 . doi : 10.4310/jdg/1668186790 .Benjamin , Beeker , Cordes , Matthew , Gardam , Giles , Gupta , Radhika , und Stark , Emily . 2022 . „Cannon-Thurston maps for CAT(0) groups with isolated flats . “ Mathematische Annalen , Nr. 384 (1-2 ) : 963 –987 . doi : 10.1007/s00208-021-02245-z .Böhm , Christoph , und Lafuente , Ramiro A. 2022 . „Homogeneous Einstein metrics on Euclidean spaces are Einstein solvmanifolds . “ Geometry and Topology , Nr. 26 : 899 –936 . doi : 10.2140/gt.2022.26.899 .Kranz , Julian , und Siebenand , Timo . 2022 . „Partial tensor-product functors and crossed-product functors . “ Proceedings of the American Mathematical Society , Nr. 150 (12 ) doi : 10.1090/proc/16048 .João , Lourenço . 2022 . „Théorie de Bruhat-Tits pour les groupes quasi-réductifs . “ Journal of the Institute of Mathematics of Jussieu , Nr. 21\ (4 ) : 1331 –1362 . doi : 10.1017/S1474748020000572 .Dotto , Emanuele , Krause , Achim , Nikolaus , Thomas , und Patchkoria , Irakli . 2022 . „Witt vectors with coefficients and characteristic polynomials over non-commutative rings . “ Compositio Mathematica , Nr. 158 (2 ) : 366 –408 . doi : 10.1112/S0010437X22007254 .Antieau , Benjamin , Krause , Achim , und Nikolaus , Thomas . 2022 . „On the K-theory of Z/pn . “ arxiv.org doi : 10.48550/arXiv.2204.03420 .Land , Markus , Nikolaus , Thomas , und Schlichting , Marco . 2022 . „L-theory of C∗-algebras . “ arxiv.org arXiv . doi : 10.48550/ARXIV.2208.10556 .Antieau , Benjamin , Mathew , Akhil , Morrow , Matthew , und Nikolaus , Thomas . 2022 . „On the Beilinson fiber square . “ Duke Mathematical Journal , Nr. 18 : 3707 –3806 .Land , Markus , Nikolaus , Thomas , und Schlichting , Marco . 2022 . „L-theory of C∗-algebras . “ Proceedings of the London Mathematical Society , Nr. 127 (5 ) : 1451 –1506 . doi : 10.1112/plms.12564 .Hein , HJ , Sun , S , Viaclovsky , J , und Zhang , R . 2022 . „Nilpotent structures and collapsing Ricci-flat metrics on the K3 surface . “ Journal of the American Mathematical Society , Nr. 2022 doi : 10.1090/jams/978 .Jentzen , A , Kuckuck , B , Müller-Gronbach , T , und Yaroslavtseva , L . 2022 . „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 . “ Discrete and Continuous Dynamical Systems - Series B , Nr. 27 (7 ) : 3707 –3724 . doi : 10.3934/dcdsb.2021203 .Jentzen , A , und Riekert , A . 2022 . „On the existence of global minima and convergence analyses for gradient descent methods in the training of deep neural networks . “ Journal of Machine Learning , Nr. 1 (2 ) : 141 –246 . doi : 10.4208/jml.220114a .Jentzen , Arnulf , und Riekert , Adrian . 2022 . „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 . “ Journal of Machine Learning Research , Nr. 23 (260 ) : 1 –50 .Jentzen , Arnulf , und Riekert , Adrian . 2022 . „A proof of convergence for stochastic gradient descent in the training of artificial neural networks with ReLU activation for constant target functions . “ Zeitschrift für Angewandte Mathematik und Physik , Nr. 73 (5 ) 188. doi : 10.1007/s00033-022-01716-w .Cheridito , Patrick , Jentzen , Arnulf , Riekert , Adrian , und Rossmannek , Florian . 2022 . „A proof of convergence for gradient descent in the training of artificial neural networks for constant target functions . “ Journal of Complexity , Nr. 72 101646. doi : 10.1016/j.jco.2022.101646 .Beck , C , Jentzen , A , und Kuckuck , B . 2022 . „Full error analysis for the training of deep neural networks . “ Infinite Dimensional Analysis, Quantum Probability and Related Topics , Nr. 25 (2 ) 2150020. doi : 10.1142/S021902572150020X .Riekert , Adrian . 2022 . „Convergence rates for empirical measures of Markov chains in dual and Wasserstein distances . “ Statistics and Probability Letters , Nr. 189 109605. doi : 10.1016/j.spl.2022-109605 .Maxim , Laurentiu , und Schürmann , Jörg . 2022 . „Constructible Sheaf Complexes in Complex Geometry and Applications . “ In Handbook of Geometry and Topology of Singularities III , Bd. 3 aus Handbook of Geometry and Topology of Singularities , herausgegeben von José Luis Cisneros-Molina , 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