The speed of a biased random walk on a percolation cluster at high density

2008/12/13 by Alexander Fribergh, Fribergh, Alexander
Decision Sciences · Mathematics · #FOS: Mathematics #Probability (math.PR) #Probability and Risk Models #Random Matrices and Applications #Stochastic processes and statistical mechanics

paper · doi:10.48550/arxiv.0812.2532

openalex publication_date 2008/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the speed of a biased random walk on a percolation cluster on \Z^d in function of the percolation parameter p. We obtain a first order expansion of the speed at p=1 which proves that percolating slows down the random walk at least in the case where the drift is along a component of the lattice.

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