Directed mean curvature flow in noisy environment

Konstantin Matetski (Columbia)

14-May-2021, 16:30-17:30 (3 years ago)

Abstract: We consider the directed mean curvature flow evolving on the plane in a weak disordered Gaussian environment. A simpler version of the model is the quenched KPZ equation with a weak noise. We prove that, when started from a sufficiently regular initial state, a rescaled and renormalized curve converges to the Cole–Hopf solution of the KPZ equation. This is a joint work with A.Gerasimovičs and M. Hairer.

mathematical physicsprobability

Audience: researchers in the topic


Probability and the City Seminar

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