Quenched Large Deviations for Simple Random Walks on Supercritical Percolation Clusters

Noam Berger, Chiranjib Mukherjee

We prove a {\it{quenched}} large deviation principle (LDP) for a simple random walk on a supercritical percolation cluster on ${\mathbb{Z}}^d$, $d\ge 2$.. We take the point of view of the m…