The speed of biased random walk on percolation clusters

Details The speed of biased random walk on percolation clusters The speed of biased random walk on percolation clusters

2002-11-19

arxiv.org/abs/math/0211303v3

Mathematics

Probability

This is a corrected version where the result is only proved for percolation clusters on Z^2; 23 Pages, 3 Figures

Scientific paper

We consider biased random walk on supercritical percolation clusters in
$\Z^2$. We show that the random walk is transient and that there are two speed
regimes: If the bias is large enough, the random walk has speed zero, while if
the bias is small enough, the speed of the random walk is positive.

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