2 papers
math-ph2004
Modulation Equations: Stochastic Bifurcation in Large Domains
D. Blömker, M. Hairer, G. A. Pavliotis
We consider the stochastic Swift-Hohenberg equation on a large domain near its change of stability. We show that, under the appropriate scaling, its solutions can be approximated b…
math-ph2004
Periodic Homogenization for Hypoelliptic Diffusions
M. Hairer, G. A. Pavliotis
We study the long time behavior of an Ornstein-Uhlenbeck process under the influence of a periodic drift. We prove that, under the standard diffusive rescaling, the law of the part…