Volume 13, January 2009
|Page(s)||51 - 69|
|Published online||21 February 2009|
Tail estimates for homogenization theorems in random media
Laboratoire de Mathématiques UMR 6205,
Université de Bretagne Occidentale, 6, avenue Le Gorgeu, CS 93837,
29238 Brest Cedex 3, France; firstname.lastname@example.org
Revised: 17 October 2007
Consider a random environment in given by i.i.d. conductances. In this work, we obtain tail estimates for the fluctuations about the mean for the following characteristics of the environment: the effective conductance between opposite faces of a cube, the diffusion matrices of periodized environments and the spectral gap of the random walk in a finite cube.
Mathematics Subject Classification: 60K37 / 35B27 / 82B44
Key words: Periodic approximation / random environments / fluctuations / effective diffusion matrix / effective conductance / non-uniform ellipticity
© EDP Sciences, SMAI, 2009
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