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Tail estimates for homogenization theorems in random media

Published online by Cambridge University Press:  21 February 2009

Daniel Boivin
Daniel Boivin*
Affiliation:
Laboratoire de Mathématiques UMR 6205, Université de Bretagne Occidentale, 6, avenue Le Gorgeu, CS 93837, 29238 Brest Cedex 3, France; boivin@univ-brest.fr
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Abstract

Consider a random environment in ${\mathbb Z}^d$ given by i.i.d. conductances.In this work, we obtain tail estimates for the fluctuations about themean for the following characteristics of the environment: the effective conductance between opposite faces of a cube, the diffusion matrices of periodized environmentsand the spectral gap of the random walk in a finite cube.

Keywords

Periodic approximationrandom environmentsfluctuationseffective diffusion matrixeffective conductancenon-uniform ellipticity
Type
Research Article
Information
ESAIM: Probability and Statistics , Volume 13 , July 2009 , pp. 51 - 69
Copyright
© EDP Sciences, SMAI, 2009

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