Limiting velocity of high-dimensional random walk in random environment

Abstract

We show that random walk in uniformly elliptic i.i.d. environment in dimension $\ge 5$ has at most one non zero limiting velocity. In particular this proves a law of large numbers in the distributionally symmetric case and establishes connections between different conjectures.

Published in at http://dx.doi.org/10.1214/07-AOP338 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)

References in corpus (1)

• Limit velocity and zero--one laws for diffusions in random environment

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