On symmetric random walks with random conductances on $\Z^d$
Probability
2007-05-23 v1
Abstract
We study models of continuous time, symmetric, -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.
Cite
@article{arxiv.math/0403134,
title = {On symmetric random walks with random conductances on $\Z^d$},
author = {L. R. G. Fontes and P. Mathieu},
journal= {arXiv preprint arXiv:math/0403134},
year = {2007}
}
Comments
34 pages, 1 figure