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# Jimmy He : Shift invariance of half space integrable models

I'll discuss 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 colored 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.

**Category**: Probability**Duration**: 56:00**Date**: September 28, 2023 at 3:10 PM**Views**: 100-
**Tags:**seminar, Probability Seminar

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