Noam Berger and Marek Biskup
Quenched invariance principle for simple random walk on percolation clusters
(128K, ZIP)

ABSTRACT.  We consider the simple random walk on the (unique) infinite cluster of super-critical percolation in the Euclidean lattice of dimension 2 and higher. We prove that, for almost every percolation configuration, the path distribution of the walk converges weakly to that of non-degenerate Brownian motion.