A martingale approach to homogenization of unbounded random flows
Albert Fannjiang, Tomasz Komorowski · The Annals of Probability · 1997
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.