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2010 Standard Spectral Dimension for the Polynomial Lower Tail Random Conductances Model
Omar Boukhadra
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Electron. J. Probab. 15: 2069-2086 (2010). DOI: 10.1214/EJP.v15-839

Abstract

We study models of continuous-time, symmetric random walks in random environment on the d-dimensional integer lattice, driven by a field of i.i.d random nearest-neighbor conductances bounded only from above with a power law tail near 0. We are interested in estimating the quenched asymptotic behavior of the on-diagonal heat-kernel. We show that the spectral dimension is standard when we lighten sufficiently the tails of the conductances. As an expected consequence, the same result holds for the discrete-time case.

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Omar Boukhadra. "Standard Spectral Dimension for the Polynomial Lower Tail Random Conductances Model." Electron. J. Probab. 15 2069 - 2086, 2010. https://doi.org/10.1214/EJP.v15-839

Information

Accepted: 8 December 2010; Published: 2010
First available in Project Euclid: 1 June 2016

zbMATH: 1231.60037
MathSciNet: MR2745726
Digital Object Identifier: 10.1214/EJP.v15-839

Subjects:
Primary: 60G50
Secondary: 60J10, 60K37

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Vol.15 • 2010
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