KPZ universality of random growing interfaces

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.

For Zoom link, please email laquinon@syr.edu.