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

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

2008-12-13

arxiv.org/abs/0812.2532v2

Mathematics

Probability

65 pages, 5 figures. Published at Ann. Probab. Volume 38, Number 5 (2010), 1717-1782

Scientific paper

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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