Tail estimates for homogenization theorems in random media

Daniel Boivin

ESAIM: Probability and Statistics (2009)

  • Volume: 13, page 51-69
  • ISSN: 1292-8100

Abstract

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Consider a random environment in 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.

How to cite

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Boivin, Daniel. "Tail estimates for homogenization theorems in random media." ESAIM: Probability and Statistics 13 (2009): 51-69. <http://eudml.org/doc/250668>.

@article{Boivin2009,
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 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. },
author = {Boivin, Daniel},
journal = {ESAIM: Probability and Statistics},
keywords = {Periodic approximation; random environments; fluctuations; effective diffusion matrix; effective conductance; non-uniform ellipticity; non-uniform ellipticity},
language = {eng},
month = {2},
pages = {51-69},
publisher = {EDP Sciences},
title = {Tail estimates for homogenization theorems in random media},
url = {http://eudml.org/doc/250668},
volume = {13},
year = {2009},
}

TY - JOUR
AU - Boivin, Daniel
TI - Tail estimates for homogenization theorems in random media
JO - ESAIM: Probability and Statistics
DA - 2009/2//
PB - EDP Sciences
VL - 13
SP - 51
EP - 69
AB - 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.
LA - eng
KW - Periodic approximation; random environments; fluctuations; effective diffusion matrix; effective conductance; non-uniform ellipticity; non-uniform ellipticity
UR - http://eudml.org/doc/250668
ER -

References

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