We study the homogenization problem for a diffusion process in a divergence-free random drift field. In particular, in case of a small Gaussian field we derive an asymptotic expansion of the effective diffusion matrix in terms of its spectral density.
@article{1176991679,
author = {Oelschlager, Karl},
title = {Homogenization of a Diffusion Process in a Divergence-Free Random Field},
journal = {Ann. Probab.},
volume = {16},
number = {4},
year = {1988},
pages = { 1084-1126},
language = {en},
url = {http://dml.mathdoc.fr/item/1176991679}
}
Oelschlager, Karl. Homogenization of a Diffusion Process in a Divergence-Free Random Field. Ann. Probab., Tome 16 (1988) no. 4, pp. 1084-1126. http://gdmltest.u-ga.fr/item/1176991679/