637 citations · 4.1k across the 101 of their papers we have counts for
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Fluctuations around a homogenised semilinear random PDE
Martin Hairer, Étienne Pardoux
We consider a semilinear parabolic partial differential equation in , where or , with a highly oscillating random potential and either homog…
The support of singular stochastic PDEs
Martin Hairer, Philipp Schönbauer
We obtain a generalisation of the Stroock-Varadhan support theorem for a large class of systems of subcritical singular stochastic PDEs driven by a noise that is either white or ap…
Averaging dynamics driven by fractional Brownian motion
Martin Hairer, Xue-Mei Li
We consider slow / fast systems where the slow system is driven by fractional Brownian motion with Hurst parameter . We show that unlike in the case , c…
Geometric stochastic heat equations
Yvain Bruned, Franck Gabriel, Martin Hairer +1
We consider a natural class of -valued one-dimensional stochastic PDEs driven by space-time white noise that is formally invariant under the action of the diffeomorph…