Quenched large deviations for simple random walks on percolation models including long-range correlations

Noam Berger, Chiranjib Mukherjee, Kazuki Okamura

We prove a {\it{quenched}} large deviation principle (LDP) for a simple random walk on a supercritical percolation cluster (SRWPC) on ${\mathbb{Z}}^d$ ($d\ge 2$). The models under in…