Tail estimates for homogenization theorems in random media
ESAIM: Probability and Statistics, Volume 13  (2009), p. 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 : https://doi.org/10.1051/ps:2007036
Classification:  60K37,  35B27,  82B44
Keywords: periodic approximation, random environments, fluctuations, effective diffusion matrix, effective conductance, non-uniform ellipticity
@article{PS_2009__13__51_0,
author = {Boivin, Daniel},
title = {Tail estimates for homogenization theorems in random media},
journal = {ESAIM: Probability and Statistics},
publisher = {EDP-Sciences},
volume = {13},
year = {2009},
pages = {51-69},
doi = {10.1051/ps:2007036},
zbl = {pre05660758},
mrnumber = {2493855},
language = {en},
url = {http://www.numdam.org/item/PS_2009__13__51_0}
}

Boivin, Daniel. Tail estimates for homogenization theorems in random media. ESAIM: Probability and Statistics, Volume 13 (2009) , pp. 51-69. doi : 10.1051/ps:2007036. http://www.numdam.org/item/PS_2009__13__51_0/

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