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Quenched invariance principles for random walks on percolation clusters

P Mathieu, A Piatnitski

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Source: Crossref

Published: Jul 3, 2007

DOI: 10.1098/rspa.2007.1876

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Source abstract

We consider a supercritical Bernoulli percolation model in , d ≥2, and study the simple symmetric random walk on the infinite percolation cluster. The aim of this paper is to prove the almost sure (quenched) invariance principle for this random walk.

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Quenched invariance principles for random walks on percolation clusters — Mathematical Frontier Network