On the connection problem for Painlevé I

DOI10.1088/1751-8121/aa6e12zbMath1383.34104arXiv1612.08382OpenAlexW2963131910MaRDI QIDQ5347993

Julien Roussillon, Oleg Lisovyy

Publication date: 11 August 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.08382

zbMATH Keywords

Painlevé equationsconnection problemtau functions

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Related Items (11)

Quantum spectral problems and isomonodromic deformations ⋮ 2-parameter \(\tau\)-function for the first Painlevé equation: topological recursion and direct monodromy problem via exact WKB analysis ⋮ Gap probability of the circular unitary ensemble with a Fisher-Hartwig singularity and the coupled Painlevé V system ⋮ Monodromy dependence and symplectic geometry of isomonodromic tau functions on the torus ⋮ A note on rank 5/2 Liouville irregular block, Painlevé I and the \(\mathcal{H}_0\) Argyres-Douglas theory ⋮ On Some Hamiltonian Properties of the Isomonodromic Tau Functions ⋮ On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo-Miwa-Ueno differential ⋮ Argyres-Douglas theories, Painlevé II and quantum mechanics ⋮ Irregular conformal blocks and connection formulae for Painlevé V functions ⋮ Resurgent extrapolation: rebuilding a function from asymptotic data. Painlevé I ⋮ Painlevé I and exact WKB: Stokes phenomenon for two-parameter transseries

Cites Work

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