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Quenched invariance principles for random walks on percolation clusters

Research paper by P. Mathieu, A. L. Piatnitski

Indexed on: 23 Nov '05Published on: 23 Nov '05Published in: Mathematics - Probability



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.