Central Limit Theorem and recurrence for random walks in bistochastic random environments
Probability
2009-06-22 v1 Dynamical Systems
Abstract
We prove the annealed Central Limit Theorem for random walks in bistochastic random environments on with zero local drift. The proof is based on a "dynamicist's interpretation" of the system, and requires a much weaker condition than the customary uniform ellipticity. Moreover, recurrence is derived for .
Cite
@article{arxiv.0810.2324,
title = {Central Limit Theorem and recurrence for random walks in bistochastic random environments},
author = {Marco Lenci},
journal= {arXiv preprint arXiv:0810.2324},
year = {2009}
}
Comments
13 pages; to appear in the special issue of J. Math. Phys. on "Statistical Mechanics on Random Structures"