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2013 Anomalous heat kernel behaviour for the dynamic random conductance model
Stephen Buckley
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Electron. Commun. Probab. 18: 1-11 (2013). DOI: 10.1214/ECP.v18-2525

Abstract

We introduce the time dynamic random conductance model and consider the heat kernel for the random walk on this environment. In the case where conductances are bounded above, an example environment is presented which exhibits heat kernel decay that is asymptotically slower than in the well studied time homogeneous case - being close to $O\left( n^{-1}\right) $ as opposed to $O\left( n^{-2}\right) $. The example environment given is a modification of an environment introduced in Berger, Biskup, Hoffman and Kozma (2008).

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Stephen Buckley. "Anomalous heat kernel behaviour for the dynamic random conductance model." Electron. Commun. Probab. 18 1 - 11, 2013. https://doi.org/10.1214/ECP.v18-2525

Information

Accepted: 3 January 2013; Published: 2013
First available in Project Euclid: 7 June 2016

zbMATH: 1320.60162
MathSciNet: MR3011528
Digital Object Identifier: 10.1214/ECP.v18-2525

Subjects:
Primary: 60G50
Secondary: 05C81, 60J27

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