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

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

2004-03-08

arxiv.org/abs/math/0403134v1

Mathematics

Probability

34 pages, 1 figure

Scientific paper

We 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.

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