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

@article{Deuschel2015QuenchedIP, title={Quenched invariance principle for random walk in time-dependent balanced random environment}, author={Jean-Dominique Deuschel and Xiaoqin Guo and Alejandro Fonseca Ram{\'i}rez}, journal={arXiv: Probability}, year={2015} }

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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