Poles of intégrale tritronquée and anharmonic oscillators. Asymptotic localization from WKB analysis

DOI10.1088/0951-7715/23/10/008zbMath1204.33026arXiv1002.1042OpenAlexW2008429270MaRDI QIDQ3162695

Davide Masoero

Publication date: 21 October 2010

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.1042

zbMATH Keywords

Painlevé equationspectral problemsdistributionof poles

Mathematics Subject Classification ID

Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Painlevé-type functions (33E17) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50)

Related Items (16)

Location of poles for the Hastings-McLeod solution to the second Painlevé equation ⋮ Uniformization and constructive analytic continuation of Taylor series ⋮ Quantum spectral problems and isomonodromic deformations ⋮ Y-system and deformed thermodynamic Bethe Ansatz ⋮ Exactly solvable anharmonic oscillator, degenerate orthogonal polynomials and Painlevé II ⋮ Poles of Painlevé IV rationals and their distribution ⋮ Proof of the Dubrovin conjecture and analysis of the tritronquée solutions of PI ⋮ Painlevé I, coverings of the sphere and Belyi functions ⋮ On spectral asymptotic of quasi-exactly solvable quartic potential ⋮ Numerical solution of Riemann-Hilbert problems: Painlevé II ⋮ Tronquée solutions of the third and fourth Painlevé equations ⋮ A direct method to find Stokes multipliers in closed form for P$_1$ and more general integrable systems ⋮ Roots of generalised Hermite polynomials when both parameters are large ⋮ Tronquée solutions of the Painlevé equation PI ⋮ Resurgent extrapolation: rebuilding a function from asymptotic data. Painlevé I ⋮ Resurgence, Painlevé equations and conformal blocks

This page was built for publication: Poles of intégrale tritronquée and anharmonic oscillators. Asymptotic localization from WKB analysis