The Department of Mathematics in the College of Arts and Sciences is honored to welcome Dr. Konstantin Matetski to deliver the weekly colloquium. Dr. Matetski is a Joseph F. Ritt Assistant Professor at Columbia University, where he works in stochastic partial differential equations, integrable probability, and limiting behavior of particle systems.
Abstract: The KPZ universality class includes random growing interfaces, which, after rescaling, are conjectured to converge to the KPZ fixed point. The latter is a Markov process, which has been characterized through the exact solution of TASEP, a particular model in the class. The KPZ equation plays a special role and is conjectured to be the only model connecting the Edwards-Wilkinson (Gaussian) and the KPZ fixed points. In the talk, I will introduce the KPZ fixed point and review recent work on the KPZ universality done by myself and my collaborators.
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This event was published on November 29, 2021.