Isomonodromic Laplace transform with coalescing eigenvalues and confluence of Fuchsian singularities

DOI10.1007/s11005-021-01423-zzbMath1490.34114arXiv2101.03397OpenAlexW3119022540MaRDI QIDQ2046828

Davide Guzzetti

Publication date: 19 August 2021

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.03397

zbMATH Keywords

Stokes matricesStokes phenomenonmonodromy dataSchlesinger equationsresonant irregular singularitycoalescence of eigenvaluesisomonodromic confluence of singularitiesnon generic isomonodromy deformations

Mathematics Subject Classification ID

Laplace transform (44A10) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Related Items (3)

A short proof of a theorem of Cotti, Dubrovin and Guzzetti ⋮ The sixth Painlevé equation as isomonodromy deformation of an irregular system: monodromy data, coalescing eigenvalues, locally holomorphic transcendents and Frobenius manifolds ⋮ Isomonodromic deformations along a stratum of the coalescence locus

Cites Work

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• Confluence of singularities of nonlinear differential equations via Borel-Laplace transformations
• Gamma classes and quantum cohomology of Fano manifolds: gamma conjectures
• Birkhoff invariants and Stokes' multipliers for meromorphic linear differential equations
• Resurgence, Stokes phenomenon and alien derivatives for level-one linear differential systems
• Asymptotic analysis for integrable connections with irregular singular points
• Integrable deformations and degenerations of some irregular singularities
• Good formal structures for flat meromorphic connections. I: Surfaces
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
• Painlevé property of monodromy preserving deformation equations and the analyticity of \(\tau\) functions
• Differential equations with irregular singular points in dimension two
• Deformations with a resonant irregular singularity
• Notes on non-generic isomonodromy deformations
• On isomonodromic deformations of Fuchsian systems
• Confluence of several regular singular points into an irregular singular one
• Local moduli of semisimple Frobenius coalescent structures
• Analytic classification of families of linear differential systems unfolding a resonant irregular singularity
• Stokes-Ramis matrices and connection constants for linear differential systems with a single level
• Isomonodromy deformations at an irregular singularity with coalescing eigenvalues
• Stokes factors and multilogarithms
• Holonomic D-Modules with Betti Structures
• On Stokes Matrices in terms of Connection Coefficients
• The Stokes Structure of a good meromorphic flat bundle
• Good formal structures for flat meromorphic connections, II: Excellent schemes
• Wild Harmonic Bundles and Wild Pure Twistor D-modules
• Isomonodromy deformations with coalescing eigenvalues and applications – Będlewo 2018
• A Connection Problem for a Regular and an Irregular Singular Point of Complex Ordinary Differential Equations
• Good formal structure for meromorphic flat connections on smooth projective surfaces
• Über das globale Verhalten der Normallösungen vonx′(t) = (B + t−1A)x(t) und zweier Arten von assoziierten Funktionen
• The Connection Problem for Two Neighboring Regular Singular Points of General Linear Complex Ordinary Differential Equations
• On the Reduction of Connection Problems for Differential Equations with an Irregular Singular Point to Ones with Only Regular Singularities, I
• Analytic geometry of semisimple coalescent Frobenius structures
• Confluence of Singularities in Hypergeometric Systems
• Linear Differential Equations in the Complex Domain
• Results on the extension of isomonodromy deformations to the case of a resonant irregular singularity
• Coalescence Phenomenon of Quantum Cohomology of Grassmannians and the Distribution of Prime Numbers

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