MATHEMATICAL PHYSICS WEBINAR
RUTGERS UNIVERSITY
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Ivan Corwin- Columbia University
Thursday, May 14, 12:00pm
Title
"Invariant measure for the open KPZ equation”
We will construct an invariant measure for the open KPZ equation on a bounded interval with Neumann boundary conditions. Our result relies on two main ingredients. The first is that open ASEP converges to open KPZ under weakly asymmetric scaling around the triple point of the phase diagram. The second is that the invariant measure of open ASEP can be computed exactly via Askey-Wilson processes, a variant of the matrix product ansatz. This construction is a joint work with Alisa Knizel.