211 citations · 308 across the 15 of their papers we have counts for
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math.PR2009
Hypoellipticity in Infinite Dimensions
Martin Hairer
We consider semilinear parabolic stochastic PDEs driven by additive noise. The question addressed in this note is that of the regularity of transition probabilities. If the equatio…
math.PR2009
Periodic homogenization with an interface
Martin Hairer, Charles Manson
We consider a diffusion process with coefficients that are periodic outside of an 'interface region' of finite thickness. The question investigated in the articles [1,2] is the lim…
math.PR2009★ 12 cited
Asymptotic coupling and a weak form of Harris' theorem with applications to stochastic delay equations
Martin Hairer, Jonathan C. Mattingly, Michael Scheutzow
There are many Markov chains on infinite dimensional spaces whose one-step transition kernels are mutually singular when starting from different initial conditions. We give results…