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SUMMARY:The Riemann-Hilbert approach to exponentially small asymptotics in
  Painlevé I - Alfredo Deaño (Universidad Carlos III de Madrid)
DTSTART:20221103T140000Z
DTEND:20221103T145000Z
UID:TALK185231@talks.cam.ac.uk
DESCRIPTION:In this talk\, we revisit the calculation of exponentially sma
 ll terms in the asymptotic expansion of tronqu&eacute\;e and tritronqu&eac
 ute\;e solutions of the Painlev&eacute\; I equation. Employing the isomono
 dromy approach\, as proposed by Kapaev\, we show how perturbative and non-
 perturbative asymptotic expansions can be obtained using local parametrice
 s in terms of classical special functions.
LOCATION:Seminar Room 1\, Newton Institute
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