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math.PR2022
Directed mean curvature flow in noisy environment
Andris Gerasimovics, Martin Hairer, Konstantin Matetski
We consider the directed mean curvature flow on the plane in a weak Gaussian random environment. We prove that, when started from a sufficiently flat initial condition, a rescaled…
math.PR2018
Hörmander's theorem for semilinear SPDEs
Andris Gerasimovics, Martin Hairer
We consider a broad class of semilinear SPDEs with multiplicative noise driven by a finite-dimensional Wiener process. We show that, provided that an infinite-dimensional analogue…