Tail estimates for homogenization theorems in random media

Daniel Boivin (1)

1 LM - Laboratoire de mathématiques de Brest

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: Mathematics

Daniel Boivin. Tail estimates for homogenization theorems in random media. ESAIM: Probability and Statistics, 2009, 13, pp.51-69. ⟨10.1051/ps:2007036⟩. ⟨hal-00480187⟩