Process-level quenched large deviations for random walk in random environment
Probability
2015-05-14 v2
Abstract
We consider a bounded step size random walk in an ergodic random environment with some ellipticity, on an integer lattice of arbitrary dimension. We prove a level 3 large deviation principle, under almost every environment, with rate function related to a relative entropy.
Cite
@article{arxiv.0909.0973,
title = {Process-level quenched large deviations for random walk in random environment},
author = {Firas Rassoul-Agha and Timo Seppalainen},
journal= {arXiv preprint arXiv:0909.0973},
year = {2015}
}
Comments
Proof of (6.2) corrected. Lemma A.2 replaced