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

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

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Bibliographic Details
Main Authors: Fribergh, A, Hammond, A
Format: Journal article
Language:English
Published: Wiley 2013
Subjects: