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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)

Citations per Year

Averaging **7 citations** per year over the last 3 years.

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