• Publications

    • Gripon V., Heusel J., Löwe M., Vermet F. . ‘A Comparative Study of Sparse Associative Memories.’ Journal of Statistical Physics 164, No. 1: 105-129. doi: 10.1007/s10955-016-1530-z.
    • Heusel J., Löwe M., Vermet F. . ‘On the capacity of an associative memory model based on neural cliques.’ Statistics and Probability Letters 106, No. null: 256-261. doi: 10.1016/j.spl.2015.07.026.
    • Löwe M., Vermet F. . ‘Capacity of an associative memory model on random graph architectures.’ Bernoulli 21, No. 3: 1884-1910. doi: 10.3150/14-BEJ630.
    • Eichelsbacher P., Löwe M. . „90 Jahre Lindeberg-Methode.“ Mathematische Semesterberichte 61, No. 1: 7-34. doi: 10.1007/s00591-013-0118-9.
    • Löwe M., Torres F. . ‘On hitting times for a simple random walk on dense Erdös-Rényi random graphs.’ Statistics and Probability Letters 89, No. 1: 81-88. doi: 10.1016/j.spl.2014.02.017.
    • Friesen O, Löwe M. . ‘On the spectral density of large sample covariance matrices with Markov dependent columns.’ Markov processes and related fields 20, No. 2: 349-374.
    • Friesen O., Löwe M. . ‘The Semicircle Law for Matrices with Independent Diagonals.’ Journal of Theoretical Probability 26, No. 4: 1084-1096. doi: 10.1007/s10959-011-0383-2.
    • Friesen O., Lowe M. . ‘The semicircle law for matrices with dependent entries.’ Contributed to the Limit Theormems in Probability, Bielefeld, Deutschland. doi: 10.1007/978-3-642-36068-8_13.
    • Lowe M. . ‘How to read a randomly mixed up message.’ Contributed to the Information Theory, Bielefeld. doi: 10.1007/978-3-642-36899-8-13.
    • Friesen O, Löwe M, 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., Lowe M. . ‘A phase transition for the limiting spectral density of random matrices.’ Electronic Journal of Probability 18, No. null. doi: 10.1214/EJP.v18-2118.
    • Gerold A., Lowe M. . ‘Random Matrices and Iterated Random Functions.’ Contributed to the Workshop "Random Matrices and Iterated Random Functions", Munster, deu. doi: 10.1007/978-3-642-38806-4.
    • Löwe M., Meiners R., Torres F. . ‘Large deviations principle for Curie-Weiss models with random fields.’ Journal of Physics A: Mathematical and Theoretical 46, No. 12. doi: 10.1088/1751-8113/46/12/125004.
    • Ebbers M., Knopfel H., Lowe M., Vermet F. . ‘Mixing times for the swapping algorithm on the Blume-Emery-Griffiths model.’ Random Structures and Algorithms null, No. null. doi: 10.1002/rsa.20461. [online first]
    • Lowe M., Meiners R. . ‘Moderate Deviations for Random Field Curie-Weiss Models.’ Journal of Statistical Physics 149, No. 4: 701-721. doi: 10.1007/s10955-012-0611-x.
    • Löwe M, Vermet F. . ‘The Hopfield model on a sparse Erd{\H o}s-Renyi graph.’ Journal of Statistical Physics 143, No. 1: 205--214. doi: 10.1007/s10955-011-0167-1.
    • Ameskamp J, Löwe M. . ‘Moderate deviations for the size of the largest component in a super-critical Erdös-Rényi graph.’ Markov processes and related fields 17, No. 3: 369--390.
    • Cont R, Löwe M. . ‘Social distance, heterogeneity and social interactions.’ Journal of Mathematical Economics 46, No. 4: 572--590. doi: 10.1016/j.jmateco.2010.03.009.
    • Eichelsbacher P, Löwe M. . ‘Stein's method for dependent random variables occurring in statistical mechanics.’ Electronic Journal of Probability 15: no. 30, 962--988.
    • Löwe M, 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, Löwe M. . ‘Zur Meinungsbildung in einer heterogenen Bevölkerung---ein neuer Zugang zum Hopfield Modell.’ Mathematische Semesterberichte 56, No. 1: 15--38. doi: 10.1007/s00591-008-0049-z.
    • Löwe M, Vermet F. . ‘The swapping algorithm for the Hopfield model with two patterns.’ Stochastic Processes and their Applications 119, No. 10: 3471--3493. doi: 10.1016/j.spa.2009.06.007.
    • Ebbers M, Löwe M. . ‘Torpid mixing of the swapping chain on some simple spin glass models.’ Markov processes and related fields 15, No. 1: 59--80.
    • Löwe M, Vermet F. . ‘The capacity of {$q$}-state Potts neural networks with parallel retrieval dynamics.’ Statistics and Probability Letters 77, No. 14: 1505--1514. doi: 10.1016/j.spl.2007.03.030.
    • Alink S, Löwe M, Wüthrich MV. . ‘Diversification for general copula dependence.’ Statistica Neerlandica 61, No. 4: 446--465. doi: 10.1111/j.1467-9574.2007.00370.x.
    • Knöpfel H, Löwe M. . ‘A note on the annealed free energy of the {$p$}-spin Hopfield model.’ Markov processes and related fields 13, No. 3: 565--574.
    • van der Hofstad R, Löwe M, 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 52, No. 10: 4733--4741. doi: 10.1109/TIT.2006.881697.
    • Alink S, Löwe M, Wüthrich MV. . ‘Analysis of the expected shortfall of aggregate dependent risks.’ ASTIN Bulletin 35, No. 1: 25--43. doi: 10.2143/AST.35.1.583164.
    • Löwe M, Vermet F. . ‘The storage capacity of the Hopfield model and moderate deviations.’ Statistics and Probability Letters 75, No. 4: 237--248. doi: 10.1016/j.spl.2005.06.001.
    • Knöpfel H, Löwe M. . ‘Fluctuations in p-spin interaction models.’ Ann. Inst. H. Poincaré 41, No. 4: 807-815. doi: 10.1016/j.anihpb.2004.05.006.
    • Knöpfel H, Löwe M. . ‘Fluctuations in a {$p$}-spin interaction model.’ Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques 41, No. 4: 807--815. doi: 10.1016/j.anihpb.2004.05.006.
    • Gantert N, Löwe M, Steif JE. . ‘The voter model with anti-voter bonds.’ Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques 41, No. 4: 767--780. doi: 10.1016/j.anihpb.2004.03.007.
    • Löwe M, Vermet F. . ‘The storage capacity of the Blume-Emery-Griffiths neural network.’ Journal of Physics A: Mathematical and General 38, No. 16: 3483--3503. doi: 10.1088/0305-4470/38/16/002.
    • Gantert N, Löwe M, Steif J. . ‘The voter model with antivoter bonds.’ Ann. Inst. H. Poincaré Probab. Statist. 41, No. 4: 767-780.
    • Alink S, Löwe M, Wüthrich MV. . ‘Diversification of aggregate dependent risks.’ Insurance: Mathematics and Economics 35, No. 1: 77--95. doi: 10.1016/j.insmatheco.2004.05.001.
    • Eichelsbacher P, Löwe M. . ‘Moderate deviations for a class of mean-field models.’ Markov processes and related fields 10, No. 2: 345--366.
    • Löwe M, Matzinger H, 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).
    • Eichelsbacher P, Löwe M. . ‘Moderate deviations for the overlap parameter in the Hopfield model.’ Probability Theory and Related Fields 130, No. 4: 441--472. doi: 10.1007/s00440-004-0349-8.
    • Baake M, 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 116, No. 5-6: 1449--1451. doi: 10.1023/B:JOSS.0000041746.43933.73.
    • Löwe M, Matzinger H, 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, Löwe M. . ‘Fluctuations for the overlap parameter in the Hopfield model.’ Prob. Theory Rel. Fields 130: 441-472.
    • Eichelsbacher P, Löwe M. . ‘Moderate deviations for i.i.d.\ random variables.’ ESAIM: Probability and Statistics 7: 209--218 (electronic). doi: 10.1051/ps:2003005.
    • Löwe M, Matzinger III H. . ‘Reconstruction of sceneries with correlated colors.’ Stochastic Processes and their Applications 105, No. 2: 175--210. doi: 10.1016/S0304-4149(03)00003-6.
    • Bovier A, Kurkova I, Löwe M. . ‘Fluctuations of the free energy in the {REM} and the {$p$}-spin {SK} models.’ Annals of Probability 30, No. 2: 605--651. doi: 10.1214/aop/1023481004.
    • Löwe M, Matzinger III H. . ‘Scenery reconstruction in two dimensions with many colors.’ Annals of Applied Probability 12, No. 4: 1322--1347. doi: 10.1214/aoap/1037125865.
    • Löwe M, Merkl F, Rolles S. . ‘Moderate deviations for longest increasing subsequences: the lower tail.’ Journal of Theoretical Probability 15, No. 4: 1031--1047. doi: 10.1023/A:1020649006254.
    • Bovier A, Kurkova I, Löwe M. . ‘Fluctuations of the free energy in the REM and the p-spin Sk models.’ Annals of Probability 30: 605-651. doi: 10.1214/aop/1023481004.
    • Löwe M, Meise C. . ‘Right order spectral gap estimates for generating sets of {$\Bbb Z_4$}.’ Random Structures and Algorithms 20, No. 2: 220--238. doi: 10.1002/rsa.998.abs.
    • Löwe M, Merkl F. . ‘Moderate deviations for longest increasing subsequences: the upper tail.’ Communications on Pure and Applied Mathematics 54, No. 12: 1488--1520. doi: 10.1002/cpa.10010.
    • Löwe M. . ‘Rekonstruktion zufälliger Landschaften.’ Mathematische Semesterberichte 48, No. 1: 29--48. doi: 10.1007/PL00009931.
    • Löwe M, Meise C. . ‘Note on the knapsack Markov chain.’ Stochastic Processes and their Applications 94, No. 1: 155--170. doi: 10.1016/S0304-4149(01)00080-1.
    • Löwe M. . ‘On the storage capacity of the Hopfield model with biased patterns.’ IEEE Transactions on Information Theory 45, No. 1: 314--318. doi: 10.1109/18.746829.
    • Gentz B, Löwe M. . ‘Fluctuations in the Hopfield model at the critical temperature.’ Markov processes and related fields 5, No. 4: 423--449. doi: 10.1007/s004400050241.
    • Gentz B, Löwe M. . ‘The fluctuations of the overlap in the Hopfield model with finitely many patterns at the critical temperature.’ Probability Theory and Related Fields 115, No. 3: 357--381. doi: 10.1007/s004400050241.
    • Löwe M. . ‘The storage capacity of generalized Hopfield models with semantically correlated patterns.’ Markov processes and related fields 5, No. 1: 1--19.
    • Eichelsbacher P, Löwe M. . ‘Large deviations principle for partial sums {$U$}-processes.’ Teoriya Veroyatnostei i ee Primeneniya 43, No. 1: 97--115. doi: 10.1137/S0040585X97976647.
    • Löwe M. . ‘On the storage capacity of Hopfield models with correlated patterns.’ Annals of Applied Probability 8, No. 4: 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, 161--183. Boston, MA: Birkhäuser Verlag.
    • Löwe M. . ‘On the invariant measure of non-reversible simulated annealing.’ Statistics and Probability Letters 36, No. 2: 189--193. doi: 10.1016/S0167-7152(97)00063-1.
    • Grotendiek T, Löwe M. . ‘Optimal running times for systems of random walks involving several particles.’ Communications in Statistics: Stochastic Models 13, No. 2: 293--313. doi: 10.1080/15326349708807428.
    • Althöfer I, Löwe M. . ‘Edge search in hypergraphs.’ Discrete Mathematics 162, No. 1-3: 267--271. doi: 10.1016/0012-365X(95)00291-4.
    • Löwe M. . ‘On the convergence of genetic algorithms.’ Expositiones Mathematicae 14, No. 4: 289--312.
    • Löwe M. . ‘Simulated annealing with time-dependent energy function via Sobolev inequalities.’ Stochastic Processes and their Applications 63, No. 2: 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 12, No. 3: 389--403.
    • Löwe M. . ‘Iterated large deviations.’ Statistics and Probability Letters 26, No. 3: 219--223. doi: 10.1016/0167-7152(95)00013-5.
    • Eichelsbacher P, Löwe M. . ‘A large deviation principle for {$m$}-variate von Mises-statistics and {$U$}-statistics.’ Journal of Theoretical Probability 8, No. 4: 807--824. doi: 10.1007/BF02410113.
  • Dissertations

    Meiners, Raphael Deviation Principles for Disordered Spin Systems
    Ebbers, MirkoSwapping, Tempering, and Equi-Energy sampling on a selection of models from statistical mechanics
    Ameskamp, JensEin Prinzip moderater Abweichungen für die Größe der größten Komponente eines Erdös-Rényi-Zufallsgraphen im superkritischen Fall
    Behrens, SarahModerate und große Abweichungen zur statistischen Analyse biologischer Sequenzen
    Alink, StanCopulas and Extreme Value Theory 

Group Members

PD Dr. Michael Stolz
© Stochastik
PD Dr. Michael Stolz
Room 130.017
Orléans-Ring 10
48149 Münster
Tel: 0251 83-33777
michael.stolz@uni-muenster.de
M. Sc. Jingjia Liu
© Stochastik
M. Sc. Jingjia Liu
Room 130.003
Orléans-Ring 10
48149 Münster
Tel: 0251 83-32730
jingjia.liu@uni-muenster.de
Consultation hours: by arragement
M. Sc. Sara Terveer
© MM/vl
M. Sc. Sara Terveer
Room 130.029
Orléans-Ring 10
48149 Münster
Tel: 0251 83-32760
sara.terveer@uni-muenster.de
Consultation hours: by arragement
Dr. Jonas Jalowy
© Jonas Jalowy
Dr. Jonas Jalowy
Room 130.001
Orléans-Ring 10
48149 Münster
Tel: 0251 83-33777
jjalowy@uni-muenster.de
Consultation hours: by arragement