Diffusive estimates for random walks on stationary random graphs of polynomial growth

Shirshendu Ganguly, James R. Lee, Yuval Peres

Let $(G,\rho )$ be a stationary random graph, and use $B_{\rho }^G(r)$ to denote the ball of radius $r$ about $\rho$ in $G$. Suppose that $(G,\rho )$ has annealed polynomial growth, in the sense th…