From transseries to singularities in Painleve I and beyond

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• Ines Aniceto (University of Southampton)
• Friday 02 December 2022, 15:00-17:00
• Seminar Room 2, Newton Institute.

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ARA2 - Applicable resurgent asymptotics: towards a universal theory

The asymptotic solutions to ODEs can often be formally written in the form of a transseries, including perturbative and exponentially small contributions. Through summations of these transseries one can then obtain accurate asymptotic predictions of analytic properties such as the position of poles or branch points.This talk will consist of a detailed discussion of what is involved in obtaining asymptotic predictions of poles, zeros and branch points in certain non-linear ODEs such as Painlevé I.

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

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