On homogenization of space-time dependent and degenerate random flows II
Probability
2008-08-26 v1
Abstract
We study the long time behavior (homogenization) of a diffusion in random medium with time and space dependent coefficients. The diffusion coefficient may degenerate. In Stochastic Process. Appl. (2007) (to appear), an invariance principle is proved for the critical rescaling of the diffusion. Here, we generalize this approach to diffusions whose space-time scaling differs from the critical one.
Cite
@article{arxiv.0808.3301,
title = {On homogenization of space-time dependent and degenerate random flows II},
author = {Rémi Rhodes},
journal= {arXiv preprint arXiv:0808.3301},
year = {2008}
}
Comments
Published in at http://dx.doi.org/10.1214/07-AIHP135 the Annales de l'Institut Henri Poincar\'e - Probabilit\'es et Statistiques (http://www.imstat.org/aihp/) by the Institute of Mathematical Statistics (http://www.imstat.org)