Abstract
We study models of continuous time, symmetric, ℤd-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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Fontes, L., Mathieu, P. On symmetric random walks with random conductances on ℤd . Probab. Theory Relat. Fields 134, 565–602 (2006). https://doi.org/10.1007/s00440-005-0448-1
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DOI: https://doi.org/10.1007/s00440-005-0448-1