Limiting velocity of high-dimensional random walk in random environment
Probability
2009-09-29 v4
Abstract
We show that random walk in uniformly elliptic i.i.d. environment in dimension 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.
Cite
@article{arxiv.math/0601656,
title = {Limiting velocity of high-dimensional random walk in random environment},
author = {Noam Berger},
journal= {arXiv preprint arXiv:math/0601656},
year = {2009}
}
Comments
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)