Directed mean curvature flow in noisy environment
Konstantin Matetski (Columbia)
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
Series comments: The Probability and the City Seminar is organized jointly by the probability groups of Columbia University and New York University.
Video recordings of talks are posted online at www.youtube.com/channel/UC0CXjG-ZSIZHy0S40Px2FEQ .
Organizers: | Ivan Z Corwin*, Eyal Lubetzky* |
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