Tail estimates for homogenization theorems in random media
ESAIM: Probability and Statistics, Tome 13 (2009), pp. 51-69.

Consider a random environment in ℤ d 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.

DOI : 10.1051/ps:2007036
Classification : 60K37, 35B27, 82B44
Mots clés : periodic approximation, random environments, fluctuations, effective diffusion matrix, effective conductance, non-uniform ellipticity 
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     url = {http://www.numdam.org/articles/10.1051/ps:2007036/}
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Boivin, Daniel. Tail estimates for homogenization theorems in random media. ESAIM: Probability and Statistics, Tome 13 (2009), pp. 51-69. doi : 10.1051/ps:2007036. http://www.numdam.org/articles/10.1051/ps:2007036/

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