Statistics Seminar: Jimmy He – Shift invariance of half space integrable models
Nov 22, 2022
3:30PM to 5:00PM
Date/Time
Date(s) - 22/11/2022
3:30 pm - 5:00 pm
Title: Shift invariance of half space integrable models
Speaker: Jimmy He, Massachusetts Institute of Technology
Abstract: I’ll discuss recent work on shift invariance in a half space setting. These are non-trivial symmetries allowing certain observables of integrable models with a boundary to be shifted while preserving their joint distribution. The starting point is the coloured stochastic six vertex model in a half space, from which we obtain results on the asymmetric simple exclusion process, as well as for the beta polymer through a fusion procedure, both in a half space setting. An application to the asymptotics of a half space analogue of the oriented swap process is also given.
Date/Time: Tuesday November 22, 2022, 3:30 – 5:00
Location: UH 112