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arXiv:1001.4702 [math.PR]AbstractReferencesReviewsResources

Invariance principle for the random conductance model with unbounded conductances

M. T. Barlow, J. -D. Deuschel

Published 2010-01-26Version 1

We study a continuous time random walk $X$ in an environment of i.i.d. random conductances $\mu_e\in[1,\infty)$. We obtain heat kernel bounds and prove a quenched invariance principle for $X$. This holds even when ${\mathbb{E}}\mu_e=\infty$.

Comments: Published in at http://dx.doi.org/10.1214/09-AOP481 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Journal: Annals of Probability 2010, Vol. 38, No. 1, 234-276
Categories: math.PR
Subjects: 60K37, 60F17, 82C41
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