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arXiv 2002-11-19 1 views

The speed of biased random walk on percolation clusters

Berger, Noam · Gantert, Nina · Peres, Yuval

Original · EN

We consider biased random walk on supercritical percolation clusters in 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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