##### Department of Mathematics,

University of California San Diego

****************************

### 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

****************************