A remark concerning random walks with random potentials

Yakov Sinai

ArticleOriginal scientific text

Title

A remark concerning random walks with random potentials

Authors ^1,²

Affiliations

Mathematics Department, Princeton University, Princeton, New Jersey 08540, U.S.A.
Landau Institute of Theoretical Physics, Moscow, Russia

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.

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J. Z. Imbrie and T. Spencer, Diffusion of directed polymers in a random environment, J. Statist. Phys. 52 (1988), 609-626.

Title

A remark concerning random walks with random potentials

Affiliations

Abstract

Bibliography