The Annals of Probability

Invariance principle for the random conductance model with unbounded conductances

M. T. Barlow and J.-D. Deuschel
Source: Ann. Probab. Volume 38, Number 1 (2010), 234-276.

Abstract

We study a continuous time random walk X in an environment of i.i.d. random conductances μe∈[1, ∞). 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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Primary Subjects: 60K37, 60F17, 82C41
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.aop/1264433998
Digital Object Identifier: doi:10.1214/09-AOP481
Zentralblatt MATH identifier: 05678679
Mathematical Reviews number (MathSciNet): MR2599199

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The Annals of Probability

The Annals of Probability