We study the speed of a biased random walk on a percolation cluster on ℤd 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.
Publié le : 2010-09-15
Classification:
Random walk in random conductances,
percolation cluster,
electrical networks,
Kalikow,
60K37,
60J45,
60D05
@article{1282053771,
author = {Fribergh, Alexander},
title = {The speed of a biased random walk on a percolation cluster at high density},
journal = {Ann. Probab.},
volume = {38},
number = {1},
year = {2010},
pages = { 1717-1782},
language = {en},
url = {http://dml.mathdoc.fr/item/1282053771}
}
Fribergh, Alexander. The speed of a biased random walk on a percolation cluster at high density. Ann. Probab., Tome 38 (2010) no. 1, pp. 1717-1782. http://gdmltest.u-ga.fr/item/1282053771/