Global asymptotic analysis of the Painleve equations: The Isomonodromy-Riemann-Hilbert approach

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• Alexander Its (Indiana University-Purdue University Indianapolis)
• Friday 21 October 2022, 15:00-17:00
• Seminar Room 2, Newton Institute.

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ARA2 - Applicable resurgent asymptotics: towards a universal theory

I intend to describe the global asymptotic results  concerning the Painlev\’e transcendents that can be obtained via the Riemann-Hilbert/Isomonodromy method. These include explicit connection formulae, quasi-linear and nonlinear Stokes phenomena, distribution of poles. This is an extended version of the online talk I gave in the first part of the program in  the Spring of 2021. Among the added new material I am planning to discuss the recent results concerning the connection formulae for the Painleve tau functions.

This talk is part of the Isaac Newton Institute Seminar Series series.

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