Tail estimates for homogenization theorems in random media

Boivin, Daniel

ESAIM: Probability and Statistics, Tome 13 (2009), pp. 51-69

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 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.

Classification : 60K37, 35B27, 82B44
Keywords: periodic approximation, random environments, fluctuations, effective diffusion matrix, effective conductance, non-uniform ellipticity

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