English

Constants of concentration for a simple recurrent random walk on random environment

Probability 2009-01-23 v2

Abstract

We clarify the asymptotic of the limsup of the size of the neighborhood of concentration of Sinai's walk improving the result in \cite{Pierre3}. Also we get the almost sure limit of the number of points visited more than a small but fixed proportion of a given amount of time.

Keywords

Cite

@article{arxiv.0803.2006,
  title  = {Constants of concentration for a simple recurrent random walk on random environment},
  author = {Pierre Andreoletti},
  journal= {arXiv preprint arXiv:0803.2006},
  year   = {2009}
}
R2 v1 2026-06-21T10:21:19.244Z