A remark concerning random walks with random potentials

Yakov Sinai

Fundamenta Mathematicae (1995)

  • Volume: 147, Issue: 2, page 173-180
  • ISSN: 0016-2736

Abstract

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We consider random walks where each path is equipped with a random weight which is stationary and independent in space and time. We show that under some assumptions the arising probability distributions are in a sense uniformly absolutely continuous with respect to the usual probability distribution for symmetric random walks.

How to cite

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Sinai, Yakov. "A remark concerning random walks with random potentials." Fundamenta Mathematicae 147.2 (1995): 173-180. <http://eudml.org/doc/212081>.

@article{Sinai1995,
abstract = {We consider random walks where each path is equipped with a random weight which is stationary and independent in space and time. We show that under some assumptions the arising probability distributions are in a sense uniformly absolutely continuous with respect to the usual probability distribution for symmetric random walks.},
author = {Sinai, Yakov},
journal = {Fundamenta Mathematicae},
keywords = {random potentials; random walks; symmetric random walks},
language = {eng},
number = {2},
pages = {173-180},
title = {A remark concerning random walks with random potentials},
url = {http://eudml.org/doc/212081},
volume = {147},
year = {1995},
}

TY - JOUR
AU - Sinai, Yakov
TI - A remark concerning random walks with random potentials
JO - Fundamenta Mathematicae
PY - 1995
VL - 147
IS - 2
SP - 173
EP - 180
AB - We consider random walks where each path is equipped with a random weight which is stationary and independent in space and time. We show that under some assumptions the arising probability distributions are in a sense uniformly absolutely continuous with respect to the usual probability distribution for symmetric random walks.
LA - eng
KW - random potentials; random walks; symmetric random walks
UR - http://eudml.org/doc/212081
ER -

References

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  1. [1] E. Bolthausen, A note on the diffusion of directed polymers in a random environment, Comm. Math. Phys. 123 (1989), 529-534. Zbl0684.60013
  2. [2] J. G. Conlon and P. A. Olson, A Brownian motion version of directed polymer problem, preprint, University of Michigan, 1994. 
  3. [3] J. Z. Imbrie and T. Spencer, Diffusion of directed polymers in a random environment, J. Statist. Phys. 52 (1988), 609-626. Zbl1084.82595

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