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.
Recording during the meeting "Integrability and Randomness in Mathematical Physics and Geometry " the April 08, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France)
Filmmaker: Guillaume Hennenfent
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Oleg Lisovyi: Monodromy dependence of Painlevé tau functions cnrs montpellier | |
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