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arXiv · 1503.01964

Quenched invariance principle for random walk in time-dependent balanced random environment

Jean-Dominique Deuschel·Xiaoqin Guo·Alejandro F. Ramirez
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Abstract

We prove a quenched central limit theorem for balanced random walks in time dependent ergodic random environments which is not necessarily nearest-neigbhor. We assume that the environment satisfies appropriate ergodicity and ellipticity conditions. The proof is based on the use of a maximum principle for parabolic difference operators.

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Jean-Dominique Deuschel, Xiaoqin Guo, Alejandro F. Ramirez. 2015-03-06. Quenched invariance principle for random walk in time-dependent balanced random environment. https://arxiv.org/abs/1503.01964

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