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January 2010 Invariance principle for the random conductance model with unbounded conductances
M. T. Barlow, J.-D. Deuschel
Ann. Probab. 38(1): 234-276 (January 2010). DOI: 10.1214/09-AOP481

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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M. T. Barlow. J.-D. Deuschel. "Invariance principle for the random conductance model with unbounded conductances." Ann. Probab. 38 (1) 234 - 276, January 2010. https://doi.org/10.1214/09-AOP481

Information

Published: January 2010
First available in Project Euclid: 25 January 2010

zbMATH: 1189.60187
MathSciNet: MR2599199
Digital Object Identifier: 10.1214/09-AOP481

Subjects:
Primary: 60F17, 60K37, 82C41

Rights: Copyright © 2010 Institute of Mathematical Statistics

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Vol.38 • No. 1 • January 2010
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