English

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

Probability 2016-09-06 v2

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.

Keywords

Cite

@article{arxiv.1503.01964,
  title  = {Quenched invariance principle for random walk in time-dependent balanced random environment},
  author = {Jean-Dominique Deuschel and Xiaoqin Guo and Alejandro F. Ramirez},
  journal= {arXiv preprint arXiv:1503.01964},
  year   = {2016}
}

Comments

21 pages, revised version

R2 v1 2026-06-22T08:46:07.156Z