57 citations · 115 across the 4 of their papers we have counts for
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math-ph2012★ 20 cited
Corrections to Einstein's relation for Brownian motion in a tilted periodic potential
J. C. Latorre, G. A. Pavliotis, P. R. Kramer
In this paper we revisit the problem of Brownian motion in a tilted periodic potential. We use homogenization theory to derive general formulas for the effective velocity and the e…
math-ph2004★ 38 cited
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★ 57 cited
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…