Publications

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Number  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;
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; Preprint (submitted);
20.   Löwe, M.; Matzinger, H.: Scenery Reconstruction in Two Dimensions with many Colors, Preprint (to appear in Annals of Applied Probability);
21.   Löwe, M.; Matzinger, H.: Reconstruction of Sceneries with correlated Colors, Preprint (to appear in Stochastic Processes and Their Applications);
22.   Cont, R.; Löwe, M.: Discrete Choice in a heterogeneous society, Preprint (submitted);
23.   Löwe, M.; Meise, C.: Right Order Spectral Gap Estimates for Generating Sets of Z 4, Preprint (submitted);
24.   Löwe, M.: Wieviele 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, Preprint (submitted);
26.   Löwe, M.; Rekonstruktion zufälliger Landschaften; Preprint (submitted);
27.   Löwe, M.; Matzinger, H., Merkl, F.: Reconstruction of a one-dimensional Scenery by observing it along a Random Walk Path with Jumps, submitted

Additionally:

Number  References
28.   Eichelsbacher, P.; Löwe, M.: Große Abweichungen und Variationsprinzip; Diplomarbeit, Universität Bielefeld, (1989);
29.   Löwe, M.; Exponential Estimates for U-statistics; in Limit Theorems and Non-Parametric Statistics, F. Götze (ed.), SFB-Ergänzungsreihe 92-002, Bielefeld (1992)
30.   Eichelsbacher,P. ;Löwe, M.: Workshop on Discrete Stochastic Models, SFB­Ergänzungsreihe 95-002, Bielefeld (1995);
31.   Eichelsbacher,P.;Löwe, M.: Workshop on Large Deviations and Statistical Mechanics, SFB-Ergänzungsreihe 96-005, Bielefeld (1996);
32.   Eichelsbacher,P.;Löwe, M.: Workshop on Probability Theory and Its Applications, SFB-Ergänzungsreihe 97-006, Bielefeld (1997);
33.   Eichelsbacher,P.; Löwe, M.: Workshop on Probability Theory and its Applications, SFB-Ergänzungsreihe 97-003, Bielefeld (1998);
34.   Neural Networks, Spin Glasses and Rreconstruction of Random Scenery, Habilitation thesis, Bielefeld (2000)