A remark concerning random walks with random potentials

Yakov Sinai

Fundamenta Mathematicae (1995)

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

Abstract

top
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

top

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

top
  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

NotesEmbed ?

top

You must be logged in to post comments.