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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Dynamic ASEP - Ivan Corwin (Columbia University)
DTSTART;TZID=Europe/London:20181210T160000
DTEND;TZID=Europe/London:20181210T170000
UID:TALK115555AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/115555
DESCRIPTION:The long-time behavior of the standard ASEP height
function relates to the KPZ fixed point and the K
PZ equation. In this talk we consider "dynamic" va
riants of ASEP in which the rates of increase / de
crease for the height function depend on the heigh
t in such a way as to have height reversion to a p
referred level. Very little is known about the lon
g-time behavior of this type of process. We prove
an SPDE limit of the model under very weakly asymm
etric scaling. Along the way\, we also touch on dy
namic ASEP'\;s Markov duality and relation to o
rthogonal polynomials.

This talk relates
to a joint work with Alexei Borodin from last year
(on the duality) and a new joint work with Konsta
ntin Matetski and Promit Ghosal (on the SPDE limit
).
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:info@newton.ac.uk
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