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

Alexander Fribergh

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

Probability 2010-11-18 v2

Authors: Alexander Fribergh

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.

Keywords

biased random walk percolation cluster speed first order expansion lattice

Cite

@article{arxiv.0812.2532,
  title  = {The speed of a biased random walk on a percolation cluster at high density},
  author = {Alexander Fribergh},
  journal= {arXiv preprint arXiv:0812.2532},
  year   = {2010}
}

Comments

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

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