| Issue |
ESAIM: PS
Volume 13, January 2009
|
|
|---|---|---|
| Page(s) | 51 - 69 | |
| DOI | https://doi.org/10.1051/ps:2007036 | |
| Published online | 21 February 2009 | |
Tail estimates for homogenization theorems in random media
Laboratoire de Mathématiques UMR 6205,
Université de Bretagne Occidentale, 6, avenue Le Gorgeu, CS 93837,
29238 Brest Cedex 3, France; boivin@univ-brest.fr
Received:
13
April
2007
Revised:
17
October
2007
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.
Mathematics Subject Classification: 60K37 / 35B27 / 82B44
Key words: Periodic approximation / random environments / fluctuations / effective diffusion matrix / effective conductance / non-uniform ellipticity
© EDP Sciences, SMAI, 2009
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.