Quenched invariance principles for random walks on percolation clusters

Details Quenched invariance principles for random walks on percolation clusters Quenched invariance principles for random walks on percolation clusters

2005-05-31

arxiv.org/abs/math/0505672v2

Mathematics

Probability

Different and more self-contained exposition of the main step of the proof. Paper can now be read without any previous knowled

Scientific paper

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.

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