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References

1.

 

Löwe,M.: Exponential Inequalities and Principles of Large Deviations
for U-statistics and von-Mises statistics; Dissertation, Universität Bielefeld (1992);

2.

 

Eichelsbacher, P.; Löwe, M.: Large deviation principle for m-variate von Mises-statistics and U-statistics, J. Theor. Prob. 8, 807-824 (1995);

3.

 

Löwe,M.: Iterated Large Deviations; Statistics and Prob. Letters 26, 219-233 (1996);

4.

 

Althöfer,I.; Löwe,M.: Edge search in graphs and hypergraphs; Discrete Mathematics 162, 267-71 (1996);

5.

 

Löwe,M.: Simulated Annealing with time dependent energy function via Sobolev inequalities; Stochastic Proc. Applications 63, 221-233 (1996);

6.

 

Löwe,M.: Stochastic Search on Graphs and Genetic Algorithms; Expositiones Mathematicae 14, 289-313 (1996);

7.

 

Löwe,M.: On a randomized version of paralell local search; Comm. Stat. Stoch. Models 12, 389-405 (1996);

8.

 

Grotendiek,T.;Löwe,M.: On some decision models with random walks; Comm. Stat. Stoch. Models 13, 293-313 (1997);

9.

 

Eichelsbacher,P. ;Löwe, M.: Boltzmanns Gesetz S=k log W, Stochastik in der Schule 17, 27-41 (1997)

10.

 

Löwe,M.: On the Convergence of Non-Reversible Simulated Annealing Stat. Prob Letters 36, 189-194 (1997);

11.

 

Löwe,M.: On the Storage Capacity of Hopfield Models; in "Mathematical Aspects of Spin Glasses and Neural Networks", A. Bovier, P. Picco (eds.), Progress in Probability, Birkhäuser, Boston (1997);

12.

 

Eichelsbacher, P.; Löwe,M.: Large deviations principle for partial sums
U­processes. Teor. Veroyatnost. i Primenen. (Theory of Probability and Its Applications) 43, no. 1, 97-115 (1998);

13.

 

Löwe,M.: On the Storage Capacity of Hopfield Models with Weakly Correlated Patterns; Ann. Appl. Probab. 8, 1216-1250 (1998);

14.

 

Löwe,M.: On the Storage Capacity of Hopfield Models with Biased Patterns; IEEE Trans. Inform. Theory 45, 314-318 (1999);

15.

 

Löwe,M.: On the Storage Capacity of generalized Hopfield Models with Correlated Patterns; Markov Process. Related Fields 5, 1-19 (1999);

16.

 

Gentz, B.; Löwe, M.: On the Fluctuations of the Overlap­Parameter in the Hopfield Model with finitely many patterns at the critical temperature; Probab. Theor. Rel. Fields 115, 377-383 (1999);

17.

 

Löwe, M.; Meise, C.: Note on the Knapsack­Markov Chain; Preprint, to appear in Stochastic Proc. Appl. 94, 155-170 (2001);

18.

 

Gentz,B.; Löwe,M.: On the Fluctuations in the Hopfield Model at the critical temperature; Markov Proc. Rel. Fields 5, 423-451 (1999);

19.

 

Löwe,M.: The storage Capacity of the Hopfield Model and Moderate Deviation Principles; Eurandom Report 99-005;

20.

 

Löwe, M.; Matzinger, H.: Scenery Reconstruction in Two Dimensions with many Colors, Annals of Applied Probability 12,1322-1347 (2002);

21.

 

Löwe, M.; Matzinger, H.: Reconstruction of Sceneries with correlated Colors, Stochastic Processes and Their Applications 105, 175-210 (2003);

22.

 

Cont, R.; Löwe, M.: Discrete Choice in a heterogeneous society, Universität Münster, Report 09/03;

23.

 

Löwe, M.; Meise, C.: Right Order Spectral Gap Estimates for Generating Sets of Z 4, Random Structures and Algo. 20, 220-238 (2002);

24.

 

Löwe, M.: Wie viele Primteiler hat eine Zahl?, Mathematik in der Schule 38; 222-228 (2000)

25.

 

Bovier, A.; Kurkova, I.; Löwe, M.: Fluctuations of the free energy in the p­spin Sk model and the REM, Annals of probability 30, 605-651 (2002);

26.

 

Löwe, M.; Rekonstruktion zufälliger Landschaften; Math. Semesterberichte 48, 29-48 (2001);

27.

 

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 (2004);

28.

 

Löwe, M.; Merkl, F.: Moderate deviations for the longest increasing subsequence; The uppes tail, Comm. Pure and Applied Mathematics 54, 1488-1520 (2001);

29.

 

Löwe, M.; Merkl, F.,Rolles, S.W.W.: Moderate deviations for the longest increasing subsequence, the lower tail, Journal Theor. Prob. 15, 1031-1041 (2002);

30.

 

Eichelsbacher, P.; Löwe, M.: Moderate deviations for i.i.d. random variables, ESAIM, Prob. and Statistics 209-218 (2003);

31.

 

Eichelsbacher, P.; Löwe, M.: Geduld und Zufall, Stochastik in der Schule 23, 2-7 (2003);

32.

 

Löwe, M.: Wer tauscht gewinnt, Stochastik in der Schule 23, 21-24 (2003);

33.

 

Eichelsbacher, P.; Löwe, M.: Moderate deviations for a class of mean field models, Markov Proc. Rel. Fields 10, 345-366 (2004);

34.

 

Alink, S.; Löwe; M, Wüthrich, M.: Diversification of aggregate dependet risks, Insurance Math. Econ. 35, 77-95 (2004);

35.

 

Eichelsbacher, P.; Löwe, M.: Fluctuations for the overlap parameter in the Hopefield model, Prob. Theory Rel. Fields 130, 441-472 (2004);

36.

 

Baake, M.; Löwe, M.: Comment on Curious Properties of simple Random Walk, J. Stat. Phys. 116, 1449 - 1451 (2004);

37.

 

S. Alink; Löwe, M.,Wüthrich, M.: Analysis of the Expected Shortfall of Aggregate dependent Risks, Astin Bull. 35 (2005), no. 1, 25--43;

38.

 

Löwe, M.; Vermet, F.: The storage capacity of the Blume - Emery - Griffithes neural network, J. Phys. A 38 (2005), no. 16, 3483--3503

39.

 

Gantert, N.; Löwe,M.; Steif, J.: The voter model with antivoter bonds; Ann. Inst. H. Poincaré Probab. Statist. 41 (2005), no. 4, 767--780

40.

 

Knöpfel, H.; Löwe,M.: Fluctuations in p-spin interaction models, Ann. Inst. H. Poincaré Probab. Statist. 41 (2005), no. 4, 807--815.

41.

 

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 Trans. Inform. Theory 52 (2006), no. 10, 4733--4741

42.

 

Löwe, M.; Vermet, F.: The storage Capacity of the Hopfield model and moderate deviations Statist. Probab. Lett. 75 (2005), no. 4, 237--248

43.

 

Knöpfel, H.; Löwe, M. A note on the annealed free energy of the $p$-spin Hopfield model. Markov Process. Related Fields 13 (2007), no. 3, 565--574

44.

 

Alink, Stan; Löwe, Matthias; Wüthrich, Mario V. Diversification for general copula dependence. Statist. Neerlandica 61 (2007), no. 4, 446--465

45.

 

Löwe, Matthias; Vermet, Franck The capacity of $q$-state Potts neural networks with parallel retrieval dynamics. Statist. Probab. Lett. 77 (2007), no. 14, 1505--1514.

46.

 

Knöpfel, Holger; Löwe, Matthias; Stochastik - Struktur im Zufall. Oldenbourg (2007)

47.

 

Löwe, Matthias; Vermet, Franck, Moderate deviations for a sum of pairwise independent random variables and applications, ESAIM Probab. Stat. 13, 343- 362 (2009)

48.

 

Knöpfel, Holger; Löwe, Matthias, Eine sozio-ökonomische Interpretation des Hopfield- Modells, Mathematische Semesterberichte 56 (2009), 15-38

49.

 

Löwe, Matthias; Vermet, Franck, The Swapping Algorithm for the Hopfield Model with finitely many patterns, Stoch. Proc. Appl. 119 (2009) 3471-3493

50.

 

Ebbers, Mirko; Löwe, Matthias; Torpid mixing of the Swapping Chain on some simple Spin Glass Models, Markov Proc. and Related Fields 15 (2009)59-81.

51.

 

Behrens, Sarah; Löwe, Matthias, Moderate deviations for Word Counts in Biological Sequences, J. Appl. Probab. 46 (2009), 1020-1037.

52.

 

Eichelsbacher, Peter; Löwe, Matthias: Stein's method for dependent random variables occuring in Statistical mechanics, Electronic Journal of Probability, Vol. 15, Paper no. 30, 962-988 (2010).

53.

 

Cont, R.; Löwe, M.: Social Distance, Heterogeneity, and Social Interactions, Journal of Mathematical Economics 46 (2010) 572-590

54.

 

Löwe, Matthias, Vermet, Franck: The Hopfield model on a sparse Erdős-Renyi graphs, Journal Stat. Physics 143 (2011) 205–214

55.

 

Ameskamp, Jens, Löwe, Matthias: Moderate deviations for the size of the largest component in a super-critical Erdös-Rényi graph. Markov Process. Related Fields 17 (2011), no. 3, 369–390.

56.

 

Löwe, Matthias, Meiners, Raphael: Moderate deviations for random field Curie-Weiss models. J. Stat. Phys. 149 (2012), no. 4, 701–721.

57.

 

Friesen, Olga; Löwe, Matthias; Stolz, Michael: Gaussian fluctuations for sample covariance matrices with dependent data. J. Multivariate Anal. 114 (2013), 270–287.

58.

 

Löwe, Matthias; Meiners, Raphael; Torres, Felipe: Large deviations principle for Curie-Weiss models with random fields. J. Phys. A 46 (2013), no. 12, 125004, 10 pp.

59.

 

Alsmeyer, Gerold; Löwe, Matthias (eds.): Random matrices and iterated random functions. Springer Proceedings in Mathematics & Statistics, 53. Springer, Heidelberg, 2013. viii+265 pp.

60.

 

Eichelsbacher, Peter; Elsner, Guido; Kösters, Holger; Löwe, Matthias; Merkl, Franz; Rolles, Silke (eds.): Limit theorems in probability, statistics and number theory. In honor of Friedrich Götze. Springer Proceedings in Mathematics & Statistics, 42. Springer, Heidelberg, 2013. viii+317 pp.

61.

 

Friesen, Olga; Löwe, Matthias: A phase transition for the limiting spectral density of random matrices. Electron. J. Probab. 18 (2013), no. 17, 17 pp.

62.

 

Löwe, Matthias: How to read a randomly mixed up message. Information theory, combinatorics, and search theory, 298–312, Lecture Notes in Comput. Sci., 7777, Springer, Heidelberg, 2013.

63.

 

Friesen, Olga; Löwe, Matthias: The semicircle law for matrices with dependent entries. Limit theorems in probability, statistics and number theory, 277–294, Springer Proc. Math. Stat., 42, Springer, Heidelberg, 2013.

64.

 

Friesen, Olga; Löwe, Matthias: On the limiting spectral density of symmetric random matrices with correlated entries. Random matrices and iterated random functions, 3–29, Springer Proc. Math. Stat., 53, Springer, Heidelberg, 2013.

65.

 

Friesen, Olga; Löwe, Matthias: The semicircle law for matrices with independent diagonals. J. Theoret. Probab. 26 (2013), no. 4, 1084–1096.

66.

 

Eichelsbacher, Peter; Löwe, Matthias: 90 Jahre Lindeberg-Methode. (German) [90 years of the Lindeberg method] Math. Semesterber. 61 (2014), no. 1, 7–34.

67.

 

Löwe, Matthias; Torres, Felipe: On hitting times for a simple random walk on dense Erdös-Rényi random graphs. Statist. Probab. Lett. 89 (2014), 81–88.

68.

 

Ebbers, Mirko; Knöpfel, Holger; Löwe, Matthias; Vermet, Franck : Mixing times for the swapping algorithm on the Blume-Emery-Griffiths model. Random Structures Algorithms 45 (2014), no. 1, 38–77.

69.

 

Friesen, Olga;Löwe, Matthias: On the spectral density of large sample covariance matrices with Markov dependent columns. Markov Process. Related Fields 20 (2014), no. 2, 349–374.

70.

 

Löwe, Matthias; Vermet, Franck : Capacity of an associative memory model on random graph architectures. Bernoulli 21 (2015), no. 3, 1884–1910.

71.

 

Heusel, Judith; Löwe, Matthias; Vermet, Franck : On the capacity of an associative memory model based on neural cliques. Statist. Probab. Lett. 106 (2015), 256–261.

72.

 

Gripon, Vincent; Heusel, Judith; Löwe, Matthias; Vermet, Franck: A comparative study of sparse associative memories. J. Stat. Phys. 164 (2016), no. 1, 105–129.

73.

 

Demircigil, Mete; Heusel, Judith; Löwe, Matthias; Upgang, Sven; Vermet, Franck: On a model of associative memory with huge storage capacity. J. Stat. Phys. 168 (2017), no. 2, 288–299.

74.

 

Löwe, Matthias; Schubert Kristina: On the limiting spectral density of random matrices filled with stochastic processes. To appear in Random operators and stochastic equations (2017), arxiv: 1512.02498.

75.

 

Eichelsbacher, Peter; Löwe, Matthias: Lindeberg's method for moderate deviations and random summation. To appear in Journal of Theoretical Probability (2017), arxiv: 1705.03837.

76.

 

Vincent Gripon, Matthias Löwe, Franck Vermet: Associative Memories to Accelerate Approximate Nearest Neighbor Search. submitted (2017), arxiv: 1611.05898.

77.

 

Vincent Gripon, Ghouthi B. Hacene, Matthias Löwe, Franck Vermet: Improving Accuracy of Nonparametric Transfer Learning via Vector Segmentation. submitted (2017), arxiv: 1710.08637 .

78.

 

Judith Heusel; Matthias Löwe: The sparse Blume-Emery-Griffiths model of associative memories. submitted (2017), arxiv: 1711.08626

    

Additionally:

Number

 

References

A

 

Eichelsbacher, P.; Löwe, M.: Große Abweichungen und Variationsprinzip; Diplomarbeit, Universität Bielefeld, (1989);

B

 

Löwe, M.; Exponential Estimates for U-statistics; in Limit Theorems and Non-Parametric Statistics, F. Götze (ed.), SFB-Ergänzungsreihe 92-002, Bielefeld (1992)

C

 

Eichelsbacher,P. ;Löwe, M.: Workshop on Discrete Stochastic Models, SFB­Ergänzungsreihe 95-002, Bielefeld (1995);

D

 

Eichelsbacher,P.;Löwe, M.: Workshop on Large Deviations and Statistical Mechanics, SFB-Ergänzungsreihe 96-005, Bielefeld (1996);

E

 

Eichelsbacher,P.;Löwe, M.: Workshop on Probability Theory and Its Applications, SFB-Ergänzungsreihe 97-006, Bielefeld (1997);

F

 

Eichelsbacher,P.; Löwe, M.: Workshop on Probability Theory and its Applications, SFB-Ergänzungsreihe 97-003, Bielefeld (1998);

G

 

Neural Networks, Spin Glasses and Rreconstruction of Random Scenery, Habilitation thesis, Bielefeld (2000)