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

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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
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},
     pages = {51--69},
     publisher = {EDP-Sciences},
     volume = {13},
     year = {2009},
     doi = {10.1051/ps:2007036},
     mrnumber = {2493855},
     language = {en},
     url = {http://geodesic.mathdoc.fr/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

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