Discrete Painlevé Equations

DOI10.1090/cbms/131zbMath1423.37003arXiv1912.08959OpenAlexW3110933033MaRDI QIDQ5223437

Nalini Joshi

Publication date: 18 July 2019

Published in: CBMS Regional Conference Series in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.08959

zbMATH Keywords

Riemann-Hilbert problemintegrable systemsdifference equationsdiscrete dynamical systemsPainlevé equationsCremona groupLax pairs

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Research exposition (monographs, survey articles) pertaining to difference and functional equations (39-02) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Painlevé-type functions (33E17) Difference equations in the complex domain (39A45)

Related Items (7)

Asymptotics of discrete q-Freud II orthogonal polynomials from the q-Riemann Hilbert problem ⋮ Quiver symmetries and wall-crossing invariance ⋮ On the Riemann-Hilbert problem for a \(q\)-difference Painlevé equation ⋮ BPS quivers of five-dimensional SCFTs, topological strings and \(q\)-Painlevé equations ⋮ SPACE OF INITIAL VALUES OF A MAP WITH A QUARTIC INVARIANT ⋮ Applications in random matrix theory of a PIII′ τ-function sequence from Okamoto’s Hamiltonian formulation ⋮ On Laurent biorthogonal polynomials and Painlevé-type equations

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