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 (2)

• Random walks on supercritical percolation clusters
• Anomalous heat-kernel decay for random walk among bounded random conductances

Cited by in corpus (1)

• Random walks with unbounded jumps among random conductances I: Uniform quenched CLT