Self-Attracting Random Walks

On Self-Attracting Random Walks

Erwin Bolthausen and Uwe Schmock

Abstract:
Abstract of paper

Keywords: d-dimensional random walk, attractive interaction, large deviations, weak convergence, maximum entropy principle, localization, confinement

2010 Mathematics Subject Classification:

60F05 Central limit and other weak theorems
60F10 Large deviations
60K35 Interacting random processes; statistcal mechanics type models; percolation theory

Reference: The paper (pages 23-44) is contained in:

Michael C. Cranston and Mark A. Pinsky (Editors):
Stochastic Analysis,
Summer Research Institute on Stochastic Analysis
July 11-30, 1993, Cornell University, Ithaca, New York
Proceedings of Symposia in Pure Mathematics,
ISSN 0082-0717, Vol. 57
American Mathematical Society
Providence, Rhode Island

DOI: 10.1090/pspum/057/1335460

The paper (20 pages) is available in:

PDF / portable document format (232 kB)

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Please send comments and suggestions to Uwe Schmock, email: schmock@fam.tuwien.ac.at. Last update: June 14, 2003