English

Random Walk in deterministically changing environment

Probability 2008-04-23 v1 Dynamical Systems

Abstract

We consider a random walk with transition probabilities weakly dependent on an environment with a deterministic, but strongly chaotic, evolution. We prove that for almost all initial conditions of the environment the walk satisfies the CLT.

Keywords

Cite

@article{arxiv.0804.3497,
  title  = {Random Walk in deterministically changing environment},
  author = {Dmitry Dolgopyat and Carlangelo Liverani},
  journal= {arXiv preprint arXiv:0804.3497},
  year   = {2008}
}
R2 v1 2026-06-21T10:33:28.746Z