Invariance principle for the random conductance model with unbounded conductances

Details Invariance principle for the random conductance model with unbounded conductances Invariance principle for the random conductance model with unbounded conductances

2010-01-26

arxiv.org/abs/1001.4702v1

Annals of Probability 2010, Vol. 38, No. 1, 234-276

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/09-AOP481 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of

Scientific paper

10.1214/09-AOP481

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
${\mathbb{E}}\mu_e=\infty$.

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