Teaching
WS 2018/2019 Mathematische Statistik Bachelorseminar: Fraktale SS 2018 Wahrscheinlichkeitstheorie BSc Seminar für Lehramtskandidaten WS 2017/2018 Stochastik SS 2017 Stochastik für Lehramtskandidaten SS 2016 Wahrscheinlichkeitstheorie auf Graphen Publications
Selection
- Jalowy, Jonas, Kabluchko, Zakhar, Löwe, Matthias, and Marynych, Alexander. . “When does the chaos in the Curie-Weiss model stop to propagate?” Electronic Journal of Probability, № 28: 1–17. doi: 10.1214/23-ejp1039.
- Kabluchko, Zakhar, Löwe, Matthias, and Schubert, Kristina. . “Fluctuations of the magnetization for Ising models on Erdos-Rényi random graphs — the regimes of low temperature and external magnetic field.” Latin American Journal of Probability and Mathematical Statistics, № 19: 537–563. doi: 10.30757/alea.v19-21.
- Kabluchko, Zakhar, Löwe, Matthias, and Schubert, Kristina. . “Fluctuations for the partition function of Ising models on Erdos-Rényi random graphs.” Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques 4), № 57 : 2017–2042. doi: 10.1214/20-aihp1137.
- Kabluchko, Zakhar, Löwe, Matthias, and Schubert, Kristina. . “Fluctuations of the magnetization for Ising models on Erdos-Rényi random graphs — the regimes of small p and the critical temperature.” Journal of Physics A: Mathematical and Theoretical, № 53: 355004, 37. doi: 10.1088/1751-8121/aba05f.
- Löwe, Matthias, and Schubert, Kristina. . “Exact recovery in block spin Ising models at the critical line.” Electronic Journal of Statistics 1), № 14 : 1796–1815. doi: 10.1214/20-EJS1703.
- Friesen, Olga, and Löwe, Matthias. . “A phase transition for the limiting spectral density of random matrices.” Electronic Journal of Probability, № 18: 1–17. doi: 10.1214/EJP.v18-2118.
- Gantert, Nina, Löwe, Matthias, and Steif, Jeffrey E. . “The voter model with anti-voter bonds.” Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques 4), № 41 : 767–780. doi: 10.1016/j.anihpb.2004.03.007.
- Löwe, Matthias, and Matzinger III, Heinrich. . “Scenery reconstruction in two dimensions with many colors.” Annals of Applied Probability 4), № 12 : 1322–1347. doi: 10.1214/aoap/1037125865.
- Bovier, Anton, Kurkova, Irina, and Löwe, Matthias. . “Fluctuations of the free energy in the REM and the p-spin SK models.” Annals of Probability 2), № 30 : 605–651. doi: 10.1214/aop/1023481004.
- Löwe, Matthias, and Merkl, Franz. . “Moderate deviations for longest increasing subsequences: the upper tail.” Communications on Pure and Applied Mathematics 12), № 54 : 1488–1520. doi: 10.1002/cpa.10010.
Complete List
- Jalowy, Jonas, Kabluchko, Zakhar, Löwe, Matthias, and Marynych, Alexander. . “When does the chaos in the Curie-Weiss model stop to propagate?” Electronic Journal of Probability, № 28: 1–17. doi: 10.1214/23-ejp1039.
- Kabluchko, Zakhar, Löwe, Matthias, and Schubert, Kristina. . “Fluctuations of the magnetization for Ising models on Erdos-Rényi random graphs — the regimes of low temperature and external magnetic field.” Latin American Journal of Probability and Mathematical Statistics, № 19: 537–563. doi: 10.30757/alea.v19-21.
- Löwe, Matthias, and Terveer, Sara. . “A Central Limit Theorem for incomplete U-statistics over triangular arrays.” Brazilian Journal of Probability and Statistics 3), № 35 : 499–522. doi: 10.1214/20-BJPS492.
- Kabluchko, Zakhar, Löwe, Matthias, and Schubert, Kristina. . “Fluctuations for the partition function of Ising models on Erdos-Rényi random graphs.” Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques 4), № 57 : 2017–2042. doi: 10.1214/20-aihp1137.
- Kabluchko, Zakhar, Löwe, Matthias, and Schubert, Kristina. . “Fluctuations of the magnetization for Ising models on Erdos-Rényi random graphs — the regimes of small p and the critical temperature.” Journal of Physics A: Mathematical and Theoretical, № 53: 355004, 37. doi: 10.1088/1751-8121/aba05f.
- Löwe, Matthias, and Schubert, Kristina. . “Exact recovery in block spin Ising models at the critical line.” Electronic Journal of Statistics 1), № 14 : 1796–1815. doi: 10.1214/20-EJS1703.
- Gripon, V., Heusel, J., Löwe, M., and Vermet, F. . “A Comparative Study of Sparse Associative Memories.” Journal of Statistical Physics 1), № 164 : 105–129. doi: 10.1007/s10955-016-1530-z.
- Heusel, J., Löwe, M., and Vermet, F. . “On the capacity of an associative memory model based on neural cliques.” Statistics and Probability Letters null), № 106 : 256–261. doi: 10.1016/j.spl.2015.07.026.
- Löwe, M., and Vermet, F. . “Capacity of an associative memory model on random graph architectures.” Bernoulli 3), № 21 : 1884–1910. doi: 10.3150/14-BEJ630.
- Löwe, M., and Torres, F. . “On hitting times for a simple random walk on dense Erdös-Rényi random graphs.” Statistics and Probability Letters 1), № 89 : 81–88. doi: 10.1016/j.spl.2014.02.017.
- Eichelsbacher, P., and Löwe, M. . “90 Jahre Lindeberg-Methode.” Mathematische Semesterberichte 1), № 61 : 7–34. doi: 10.1007/s00591-013-0118-9.
- Friesen, O, and Löwe, M. . “On the spectral density of large sample covariance matrices with Markov dependent columns.” Markov processes and related fields 2), № 20 : 349–374.
- Friesen, O., and Lowe, M. . “The semicircle law for matrices with dependent entries.” in Vol. 42 Springer Publishing. doi: 10.1007/978-3-642-36068-8_13.
- Gerold, A., and Lowe, M. . “Random Matrices and Iterated Random Functions.” in Vol. 53 doi: 10.1007/978-3-642-38806-4.
- Löwe, M., Meiners, R., and Torres, F. . “Large deviations principle for Curie-Weiss models with random fields.” Journal of Physics A: Mathematical and Theoretical 12), № 46 doi: 10.1088/1751-8113/46/12/125004.
- Lowe, M. . “How to read a randomly mixed up message.” in Vol. 7777 of Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) doi: 10.1007/978-3-642-36899-8-13.
- Friesen, Olga, and Löwe, Matthias. . “A phase transition for the limiting spectral density of random matrices.” Electronic Journal of Probability, № 18: 1–17. doi: 10.1214/EJP.v18-2118.
- Friesen, O, Löwe, M, and Stolz, M. . “Gaussian fluctuations for sample covariance matrices with dependent data.” Journal of Multivariate Analysis, № 114: 270–287. doi: 10.1016/j.jmva.2012.08.004.
- Friesen, O., and Löwe, M. . “The Semicircle Law for Matrices with Independent Diagonals.” Journal of Theoretical Probability 4), № 26 : 1084–1096. doi: 10.1007/s10959-011-0383-2.
- Lowe, M., and Meiners, R. . “Moderate Deviations for Random Field Curie-Weiss Models.” Journal of Statistical Physics 4), № 149 : 701–721. doi: 10.1007/s10955-012-0611-x.
- Ebbers, M., Knopfel, H., Lowe, M., and Vermet, F. . “Mixing times for the swapping algorithm on the Blume-Emery-Griffiths model.” Random Structures and Algorithms null), № null doi: 10.1002/rsa.20461.
- Löwe, M, and Vermet, F. . “The Hopfield model on a sparse Erd{\H o}s-Renyi graph.” Journal of Statistical Physics 1), № 143 : 205–214. doi: 10.1007/s10955-011-0167-1.
- Ameskamp, J, and Löwe, M. . “Moderate deviations for the size of the largest component in a super-critical Erdös-Rényi graph.” Markov processes and related fields 3), № 17 : 369–390.
- Cont, R, and Löwe, M. . “Social distance, heterogeneity and social interactions.” Journal of Mathematical Economics 4), № 46 : 572–590. doi: 10.1016/j.jmateco.2010.03.009.
- Eichelsbacher, P, and Löwe, M. . “Stein's method for dependent random variables occurring in statistical mechanics.” Electronic Journal of Probability, № 15: no. 30, 962––988.
- Ebbers, M, and Löwe, M. . “Torpid mixing of the swapping chain on some simple spin glass models.” Markov processes and related fields 1), № 15 : 59–80.
- Löwe, M, and Vermet, F. . “The swapping algorithm for the Hopfield model with two patterns.” Stochastic Processes and their Applications 10), № 119 : 3471–3493. doi: 10.1016/j.spa.2009.06.007.
- Löwe, M, and Vermet, F. . “Capacity bounds for the {CDMA} system and a neural network: a moderate deviations approach.” ESAIM: Probability and Statistics, № 13: 343–362. doi: 10.1051/ps:2008016.
- Knöpfel, H, and Löwe, M. . “Zur Meinungsbildung in einer heterogenen Bevölkerung---ein neuer Zugang zum Hopfield Modell.” Mathematische Semesterberichte 1), № 56 : 15–38. doi: 10.1007/s00591-008-0049-z.
- Löwe, M, and Vermet, F. . “The capacity of {$q$}-state Potts neural networks with parallel retrieval dynamics.” Statistics and Probability Letters 14), № 77 : 1505–1514. doi: 10.1016/j.spl.2007.03.030.
- Alink, S, Löwe, M, and Wüthrich, MV. . “Diversification for general copula dependence.” Statistica Neerlandica 4), № 61 : 446–465. doi: 10.1111/j.1467-9574.2007.00370.x.
- Knöpfel, H, and Löwe, M. . “A note on the annealed free energy of the {$p$}-spin Hopfield model.” Markov processes and related fields 3), № 13 : 565–574.
- van der, Hofstad R, Löwe, M, and Vermet, F. . “The effect of system load on the existence of bit errors in {CDMA} with and without parallel interference cancelation.” IEEE Transactions on Information Theory 10), № 52 : 4733–4741. doi: 10.1109/TIT.2006.881697.
- Knöpfel, H, and Löwe, M. . “Fluctuations in p-spin interaction models.” Ann. Inst. H. Poincaré 4), № 41 : 807–815. doi: 10.1016/j.anihpb.2004.05.006.
- Löwe, M, and Vermet, F. . “The storage capacity of the Hopfield model and moderate deviations.” Statistics and Probability Letters 4), № 75 : 237–248. doi: 10.1016/j.spl.2005.06.001.
- Alink, S, Löwe, M, and Wüthrich, MV. . “Analysis of the expected shortfall of aggregate dependent risks.” ASTIN Bulletin 1), № 35 : 25–43. doi: 10.2143/AST.35.1.583164.
- Knöpfel, H, and Löwe, M. . “Fluctuations in a {$p$}-spin interaction model.” Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques 4), № 41 : 807–815. doi: 10.1016/j.anihpb.2004.05.006.
- Gantert, Nina, Löwe, Matthias, and Steif, Jeffrey E. . “The voter model with anti-voter bonds.” Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques 4), № 41 : 767–780. doi: 10.1016/j.anihpb.2004.03.007.
- Löwe, M, and Vermet, F. . “The storage capacity of the Blume-Emery-Griffiths neural network.” Journal of Physics A: Mathematical and General 16), № 38 : 3483–3503. doi: 10.1088/0305-4470/38/16/002.
- Eichelsbacher, P, and Löwe, M. . “Fluctuations for the overlap parameter in the Hopfield model.” Prob. Theory Rel. Fields, № 130: 441–472.
- Löwe, M, Matzinger, H, and Merkl, F. . “Reconstruction of a one-dimensional Scenery by observing it along a Random Walk Path with Jumps.” Electr. Journal Prob., № 9: 436–507.
- Eichelsbacher, P, and Löwe, M. . “Moderate deviations for the overlap parameter in the Hopfield model.” Probability Theory and Related Fields 4), № 130 : 441–472. doi: 10.1007/s00440-004-0349-8.
- Baake, M, and Löwe, M. . “Comment on: ``Curious properties of simple random walks'' [J. Statist. Phys. 3 (1993), no. 1-2, 441--445; MR1247871] by S. I. Ben-Abraham.” Journal of Statistical Physics 5-6), № 116 : 1449–1451. doi: 10.1023/B:JOSS.0000041746.43933.73.
- Eichelsbacher, P, and Löwe, M. . “Moderate deviations for a class of mean-field models.” Markov processes and related fields 2), № 10 : 345–366.
- Löwe, M, Matzinger, H, and Merkl, F. . “Reconstructing a multicolor random scenery seen along a random walk path with bounded jumps.” Electronic Journal of Probability, № 9: no. 15, 436––507 (electronic).
- Alink, S, Löwe, M, and Wüthrich, MV. . “Diversification of aggregate dependent risks.” Insurance: Mathematics and Economics 1), № 35 : 77–95. doi: 10.1016/j.insmatheco.2004.05.001.
- Löwe, M, and Matzinger, III H. . “Reconstruction of sceneries with correlated colors.” Stochastic Processes and their Applications 2), № 105 : 175–210. doi: 10.1016/S0304-4149(03)00003-6.
- Eichelsbacher, P, and Löwe, M. . “Moderate deviations for i.i.d.\ random variables.” ESAIM: Probability and Statistics, № 7: 209–218. doi: 10.1051/ps:2003005.
- Löwe, M, Merkl, F, and Rolles, S. . “Moderate deviations for longest increasing subsequences: the lower tail.” Journal of Theoretical Probability 4), № 15 : 1031–1047. doi: 10.1023/A:1020649006254.
- Löwe, Matthias, and Matzinger III, Heinrich. . “Scenery reconstruction in two dimensions with many colors.” Annals of Applied Probability 4), № 12 : 1322–1347. doi: 10.1214/aoap/1037125865.
- Bovier, Anton, Kurkova, Irina, and Löwe, Matthias. . “Fluctuations of the free energy in the REM and the p-spin SK models.” Annals of Probability 2), № 30 : 605–651. doi: 10.1214/aop/1023481004.
- Löwe, M, and Meise, C. . “Right order spectral gap estimates for generating sets of {$\Bbb Z_4$}.” Random Structures and Algorithms 2), № 20 : 220–238. doi: 10.1002/rsa.998.abs.
- Löwe, M. . “Rekonstruktion zufälliger Landschaften.” Mathematische Semesterberichte 1), № 48 : 29–48. doi: 10.1007/PL00009931.
- Löwe, Matthias, and Merkl, Franz. . “Moderate deviations for longest increasing subsequences: the upper tail.” Communications on Pure and Applied Mathematics 12), № 54 : 1488–1520. doi: 10.1002/cpa.10010.
- Löwe, M, and Meise, C. . “Note on the knapsack Markov chain.” Stochastic Processes and their Applications 1), № 94 : 155–170. doi: 10.1016/S0304-4149(01)00080-1.
- Gentz, B, and Löwe, M. . “Fluctuations in the Hopfield model at the critical temperature.” Markov processes and related fields 4), № 5 : 423–449. doi: 10.1007/s004400050241.
- Gentz, B, and Löwe, M. . “The fluctuations of the overlap in the Hopfield model with finitely many patterns at the critical temperature.” Probability Theory and Related Fields 3), № 115 : 357–381. doi: 10.1007/s004400050241.
- Löwe, M. . “On the storage capacity of the Hopfield model with biased patterns.” IEEE Transactions on Information Theory 1), № 45 : 314–318. doi: 10.1109/18.746829.
- Löwe, M. . “The storage capacity of generalized Hopfield models with semantically correlated patterns.” Markov processes and related fields 1), № 5 : 1–19.
- Eichelsbacher, P, and Löwe, M. . “Large deviations principle for partial sums {$U$}-processes.” Teoriya Veroyatnostei i ee Primeneniya 1), № 43 : 97–115. doi: 10.1137/S0040585X97976647.
- Löwe, M. . “On the storage capacity of Hopfield models with correlated patterns.” Annals of Applied Probability 4), № 8 : 1216–1250. doi: 10.1214/aoap/1028903378.
- Löwe, M. . “On the storage capacity of the Hopfield model.” in Mathematical aspects of spin glasses and neural networks, Progr. Probab. Boston, MA: Birkhäuser Verlag.
- Löwe, M. . “On the invariant measure of non-reversible simulated annealing.” Statistics and Probability Letters 2), № 36 : 189–193. doi: 10.1016/S0167-7152(97)00063-1.
- Grotendiek, T, and Löwe, M. . “Optimal running times for systems of random walks involving several particles.” Communications in Statistics: Stochastic Models 2), № 13 : 293–313. doi: 10.1080/15326349708807428.
- Althöfer, I, and Löwe, M. . “Edge search in hypergraphs.” Discrete Mathematics 1-3), № 162 : 267–271. doi: 10.1016/0012-365X(95)00291-4.
- Löwe, M. . “On the convergence of genetic algorithms.” Expositiones Mathematicae 4), № 14 : 289–312.
- Löwe, M. . “Simulated annealing with time-dependent energy function via Sobolev inequalities.” Stochastic Processes and their Applications 2), № 63 : 221–233. doi: 10.1016/0304-4149(96)00070-1.
- Löwe, M. . “On a randomized version of exhaustive local search.” Communications in Statistics: Stochastic Models 3), № 12 : 389–403.
- Löwe, M. . “Iterated large deviations.” Statistics and Probability Letters 3), № 26 : 219–223. doi: 10.1016/0167-7152(95)00013-5.
- Eichelsbacher, P, and Löwe, M. . “A large deviation principle for {$m$}-variate von Mises-statistics and {$U$}-statistics.” Journal of Theoretical Probability 4), № 8 : 807–824. doi: 10.1007/BF02410113.
Supervised Doctoral Studies
Meiners, Raphael Deviation Principles for Disordered Spin Systems Ebbers, Mirko Swapping, Tempering, and Equi-Energy sampling on a selection of models from statistical mechanics Ameskamp, Jens Ein Prinzip moderater Abweichungen für die Größe der größten Komponente eines Erdös-Rényi-Zufallsgraphen im superkritischen Fall Behrens, Sarah Moderate und große Abweichungen zur statistischen Analyse biologischer Sequenzen
Group Members
Former Group Members
