We study the asymptotic behavior of Brownian motion in steady,
unbounded incompressible random flows. We prove an invariance principle for
almost all realizations of random flows. The key compactness result is obtained
by Moser’s iterative scheme in PDE theory.
@article{1023481115,
author = {Fannjiang, Albert and Komorowski, Tomasz},
title = {A martingale approach to homogenization of unbounded random
flows},
journal = {Ann. Probab.},
volume = {25},
number = {4},
year = {1997},
pages = { 1872-1894},
language = {en},
url = {http://dml.mathdoc.fr/item/1023481115}
}
Fannjiang, Albert; Komorowski, Tomasz. A martingale approach to homogenization of unbounded random
flows. Ann. Probab., Tome 25 (1997) no. 4, pp. 1872-1894. http://gdmltest.u-ga.fr/item/1023481115/