Phase transition for the speed of the biased random walk on the supercritical percolation cluster

We prove the sharpness of the phase transition for speed in the biased random walk on the supercritical percolation cluster on Z^d. That is, for each d at least 2, and for any supercritical parameter p > p_c, we prove the existence of a critical strength for the bias, such that, below this va...

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Bibliographic Details
Main Authors: Fribergh, A, Hammond, A
Format: Journal article
Published: 2011

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