Seminars & Colloquia Calendar
Ivan Corwin - Invariant measure for the open KPZ equation
Ivan Corwin
Location: Webinar
Date & time: Thursday, 14 May 2020 at 12:00PM - 5:00PM
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MATHEMATICAL PHYSICS WEBINAR
RUTGERS UNIVERSITY
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15 MINUTES BEFORE THE SEMINAR, YOU WILL RECEIVE AN EMAIL FROM RUTGERS UNIVERSITY WITH SUBJECT LINE “RU Math-Phys Seminar”. THIS EMAIL WILL INCLUDE A LINK AND INSTRUCTIONS ON HOW TO JOIN THE WEBINAR. IF YOU HAVE ANY PROBLEMS PLEASE EMAIL
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.
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