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Large deviations for the interchange process on the interval and incompressible flows

Speaker(s)
Michał Kotowski
Affiliation
Uniwersytet Warszawski
Date
Jan. 12, 2023, 12:15 p.m.
Information about the event
5060 (note the change of room)
Seminar
Seminar of Probability Group

In the talk I will explain how large deviations for the one-dimensional interchange process are related to incompressible Euler equations. I will sketch how to obtain matching large deviation lower and upper bounds for processes which are energy-minimizing (under certain additional regularity assumptions), putting the work in the context of generalized incompressible flows introduced by Brenier. Joint work with Bálint Virág.