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

We prove a quenched central limit theorem for balanced random walks in time dependent ergodic random environments. 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.

Department of Mathematics

Pontifical Catholic University of Chile (PUC-Chile)

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Center for Mathematical Modeling (CMM)

Faculty of Physical and Mathematical Sciences (FCFM)

Universidad de Chile

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Santiago – Chile