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SUMMARY:Dynamic ASEP - Ivan Corwin (Columbia University)
DTSTART:20181210T160000Z
DTEND:20181210T170000Z
UID:TALK115555@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The long-time behavior of the standard ASEP height function re
 lates to the KPZ fixed point and the KPZ equation. In this talk we conside
 r "dynamic" variants of ASEP in which the rates of increase / decrease for
  the height function depend on the height in such a way as to have height 
 reversion to a preferred level. Very little is known about the long-time b
 ehavior of this type of process. We prove an SPDE limit of the model under
  very weakly asymmetric scaling. Along the way\, we also touch on dynamic 
 ASEP&#39\;s Markov duality and relation to orthogonal polynomials.<br> <br
 > This talk relates to a joint work with Alexei Borodin from last year (on
  the duality) and a new joint work with Konstantin Matetski and Promit Gho
 sal (on the SPDE limit).
LOCATION:Seminar Room 1\, Newton Institute
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