Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series WORK-CONF
Subjects math-ph
Date Friday 18 August 2017
Time 09:30
Institute LPTENS
Seminar Room Salle Conf. IV
Speaker's Last Name Costin
Speaker's First Name Ovidiu
Speaker's Email Address
Speaker's Institution Ohio State University
Title Asymptotic methods for the analysis of Painlevé equations
Abstract We present new resurgence based methods for the global analysis of problems in mathematics, and models in physics such as QFT and string theory. The starting point can simply be a perturbative expansion. This approach is particularly well suited for finding the "large-to-small coupling" connection and for calculating the monodromy at infinity. Applied to the Painlevé P1 equation, the Stokes constant is obtained in closed form simply from the Painlevé property (all movable singularities are poles); the small argument behavior of the tritronquée solution is derived from its asymptotic behavior, a crucial ingredient we used for proving of Dubrovin's conjecture. We devise convergent rational function expansions for the tritronquée which are practical, efficient and accurate throughout its domain of analyticity sought by the Painlevé program initiated by Deift & al. Work with G. Dunne, M. Huang and S. Tanveer
arXiv Preprint Number
Comments Workshop on "Exceptional and ubiquitous Painlevé equations for Physics". Please see webpage

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