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Department of Mathematics,
University of California San Diego

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Math 288 - Probability and Statistics

Alisa Knizel

University of Chicago

Stationary measure for the open KPZ equation

Abstract:

The Kardar-Parisi-Zhang (KPZ) equation is the stochastic partial differential equation that models interface growth. In the talk I will present the construction of a stationary measure for the KPZ equation on a bounded interval with general inhomogeneous Neumann boundary conditions. Along the way, we will encounter classical orthogonal polynomials, the asymmetric simple exclusion process, and precise asymptotics of q-Gamma functions. \\ \\ This construction is a joint work with Ivan Corwin.

Host: Benson Au

June 10, 2021

11:00 AM

For zoom ID and password email: bau@ucsd.edu

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