Quenched invariance principles for random walks on percolation clusters

P. Mathieu; A. L. Piatnitski

Quenched invariance principles for random walks on percolation clusters

Probability 2012-09-11 v2

Authors: P. Mathieu , A. L. Piatnitski

Abstract

We prove the almost sure ('quenched') invariance principle for a random walker on an infinite Bernoulli percolation cluster in $\Z^d$ where $d$ is larger or equal than 2.

Keywords

random walk in random environment random walks percolation theory

Cite

@article{arxiv.math/0505672,
  title  = {Quenched invariance principles for random walks on percolation clusters},
  author = {P. Mathieu and A. L. Piatnitski},
  journal= {arXiv preprint arXiv:math/0505672},
  year   = {2012}
}

Comments

Different and more self-contained exposition of the main step of the proof. Paper can now be read without any previous knowledge on 2 scale convergence

Related papers

View all related →