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

Alexander Fribergh (1)

1 CIMS - Courant Institute of Mathematical Sciences [New York]

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.

Domaines: Probabilités [math.PR]

Alexander Fribergh. The speed of a biased random walk on a percolation cluster at high density. 2010. ⟨hal-00346954v2⟩