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arXiv · 0812.2532

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

Alexander Fribergh
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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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Alexander Fribergh. 2010-11-17. The speed of a biased random walk on a percolation cluster at high density. https://arxiv.org/abs/0812.2532

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