Invariance principle for the random conductance model with unbounded conductances

Abstract

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 $\mathbb{E}{\mu }_e=\infty$.

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)

References in corpus (5)

• Quenched invariance principle for simple random walk on percolation clusters
• Random walks on supercritical percolation clusters
• Quenched invariance principles for random walks with random conductances
• Scaling limit for trap models on ${\mathbb{Z}}^d$
• Anomalous heat-kernel decay for random walk among bounded random conductances

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