Standard Spectral Dimension for the Polynomial Lower Tail Random Conductances Model

Omar Boukhadra (Université de Provence & Université de Constantine)

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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Pages: 2069-2086

Publication Date: December 8, 2010

DOI: 10.1214/EJP.v15-839

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