Painlevé-III monodromy maps under the \(D_6 \rightarrow D_8\) confluence and applications to the large-parameter asymptotics of rational solutions
DOI10.3842/sigma.2024.019arXiv2307.11217OpenAlexW4392620676MaRDI QIDQ6196825
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Publication date: 15 March 2024
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2307.11217
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Asymptotic expansions of solutions to ordinary differential equations (34E05) Painlevé-type functions (33E17) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)
Cites Work
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- Monodromy problem and the boundary condition for some Painlevé equations
- Moduli spaces for linear differential equations and the Painlevé equations
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
- The isomonodromic deformation method in the theory of Painlevé equations
- Polynomial Hamiltonians associated with Painleve equations. II: Differential equations satisfied by polynomial Hamiltonians
- Passage to the limit \(\mathbb{P}_ 2\longrightarrow\mathbb{P}_ 1\)
- Level spacing distributions and the Bessel kernel
- A computational exploration of the McCoy-Tracy-Wu solutions of the third Painlevé equation
- Scaling limits in the second Painlevé transcendent
- On the Umemura polynomials for the Painlevé III equation
- Stokes operators via limit monodromy of generic perturbation
- Extreme superposition: rogue waves of infinite order and the Painlevé-III hierarchy
- Rational solutions of the Painlevé-III equation: large parameter asymptotics
- Large-order asymptotics for multiple-pole solitons of the focusing nonlinear Schrödinger equation
- Wronskian Appell polynomials and symmetric functions
- THE METHOD OF ISOMONODROMY DEFORMATIONS AND THE ASYMPTOTICS OF SOLUTIONS OF THE “COMPLETE” THIRD PAINLEVÉ EQUATION
- An isomonodromy cluster of two regular singularities
- A coalescent diagram of the Painlevé equations from the viewpoint of isomonodromic deformations
- Bäcklund Transformations and Solution Hierarchies for the Third Painlevé Equation
- Zeros of the Jimbo, Miwa, Ueno tau function
- Painlevé Monodromy Manifolds, Decorated Character Varieties, and Cluster Algebras
- Rational Solutions of the Painlevé‐III Equation
- Application of the τ‐function theory of Painlevé equations to random matrices: PV, PIII, the LUE, JUE, and CUE
- Pure 𝑆𝑈(2) gauge theory partition function and generalized Bessel kernel
- A constructive proof for the Umemura polynomials of the third Painlevé equation
- Modulated bi-orthogonal polynomials on the unit circle: the \(2j-k\) and \(j-2k\) systems
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