Quenched invariance principle for random walks in balanced random environment

Abstract

We consider random walks in a balanced random environment in Z , d ≥ 2. We first prove an invariance principle (for d ≥ 2) and the transience of the random walks when d ≥ 3 (recurrence when d = 2) in an ergodic environment which is not uniformly elliptic but satisfies certain moment condition. Then, using percolation arguments, we show that under mere… (More)

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Cite this paper

@inproceedings{Guo2010QuenchedIP, title={Quenched invariance principle for random walks in balanced random environment}, author={Xiaoqin Guo and Ofer Zeitouni}, year={2010} }