Chaire Jean-Morlet : Equation intégrable aux données initiales aléatoires / Jean-Morlet Chair : Integrable Equation with Random Initial Data

Collection Chaire Jean-Morlet : Equation intégrable aux données initiales aléatoires / Jean-Morlet Chair : Integrable Equation with Random Initial Data

Organizer(s) Basor, Estelle ; Bufetov, Alexander ; Cafasso, Mattia ; Grava, Tamara ; McLaughlin, Ken

Date(s) 08/04/2019 - 12/04/2019

linked URL https://www.chairejeanmorlet.com/2104.html

00:00:00 / 00:00:00

4 22

Monodromy dependence of Painlevé tau functions

By Oleg Lisovyi

In many interesting cases, distribution functions of random matrix theory and correlation functions of integrable models of statistical mechanics and quantum field theory are given by tau functions of Painlevé equations. I will discuss an extension of the Jimbo-Miwa-Ueno differential to the space of monodromy data and explain how this construction can be used to compute constant terms in the tau function asymptotics.

Information about the video

Date of recording 08/04/2019
Date of publication 09/05/2019
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19515003
Cite this video Lisovyi, Oleg (08/04/2019). Monodromy dependence of Painlevé tau functions. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19515003
URL https://dx.doi.org/10.24350/CIRM.V.19515003

Domain(s)

Mathematical Physics

MSC codes

Document(s)

https://www.cirm-math.fr/RepOrga/2104/Slides/Lisovyi-CIRM2019.pdf

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