On symmetric random walks with random conductances on $\Z^d$

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70389We study models of continuous time, symmetric, $\Z^d$-valued random walks in random environments. One of our aims is to derive estimates on the decay of transition probabilities in a case where a uniform ellipticity assumption is absent. We consider the case of independent conductances with a polynomial tail near 0, and obtain precise asymptotics for the annealed return probability and convergence times for the random walk confined to a finite box.34 pages, 1 figureProbability60K37On symmetric random walks with random conductances on $\Z^d$text