Consider a random environment in 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.
Mots clés : 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://www.numdam.org/articles/10.1051/ps:2007036/} }
TY - JOUR AU - Boivin, Daniel TI - Tail estimates for homogenization theorems in random media JO - ESAIM: Probability and Statistics PY - 2009 SP - 51 EP - 69 VL - 13 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ps:2007036/ DO - 10.1051/ps:2007036 LA - en ID - PS_2009__13__51_0 ER -
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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