Painlevé I and exact WKB: Stokes phenomenon for two-parameter transseries (Q5878742)

scientific article; zbMATH DE number 7656207

Language	Label	Description	Also known as
English	Painlevé I and exact WKB: Stokes phenomenon for two-parameter transseries	scientific article; zbMATH DE number 7656207

Statements

instance of

scholarly article

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title

Painlevé I and exact WKB: Stokes phenomenon for two-parameter transseries (English)

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author

Alexander van Spaendonck

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Marcel Vonk

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published in

Journal of Physics A: Mathematical and Theoretical

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publication date

22 February 2023

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full work available at URL

https://arxiv.org/abs/2204.09062

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zbMATH Keywords

transseries

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WKB

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Stokes phenomenon

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isomonodromic deformation

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Painlevé

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resurgence

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MaRDI profile type

MaRDI publication profile

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cites work

Q3720988

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Nonperturbative effects and nonperturbative definitions in matrix models and topological strings

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Multi-instantons and multicuts

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The resurgence of instantons in string theory

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Series Expansions of Painlev&eacute; Transcendents near the Point at Infinity

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2-parameter $\tau$-function for the first Painlevé equation: topological recursion and direct monodromy problem via exact WKB analysis

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Transseries for beginners

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On Painlevé/gauge theory correspondence

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On the connection problem for Painlevé I

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Nonperturbative ambiguities and the reality of resurgent transseries

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Quasi-linear Stokes phenomenon for the Painlevé first equation

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A direct method to find Stokes multipliers in closed form for P$_1$ and more general integrable systems

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Tronquée solutions of the Painlevé equation PI

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Hyperasymptotics

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The Painlevé Connection Problem: An Asymptotic Approach. I

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Connection formulae for the first Painlevé transcendent in the complex domain

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Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II

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On the $\tau $-function of the Painlevé equations

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Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and $\tau $-function

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Exact WKB analysis and cluster algebras

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Special solutions of the first and second Painlevé equations and singularities of the monodromy data manifold

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Moduli spaces for linear differential equations and the Painlevé equations

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On the instanton-type expansions for Painlevé transcendents and elliptic functions

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Riccati equations revisited: linearization and analytic interpretation of instanton-type solutions

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Q3839838

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Singular normal form for the Painlevé equation P1

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On the formation of singularities of solutions of nonlinear differential systems in anti-Stokes directions.

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Painlevé I and exact WKB: Stokes phenomenon for two-parameter transseries

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Resurgent extrapolation: rebuilding a function from asymptotic data. Painlevé I

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WKB analysis of Painlevé transcendents with a large parameter. III: Local reduction of 2-parameter Painlevé transcendents

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WKB analysis of Painlevé transcendents with a large parameter. I

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Q5394330

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Identifiers

DOI

10.1088/1751-8121/ac9e29

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5878742