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A Riemann-Hilbert approach to skew-orthogonal polynomials of symplectic type

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Publication:6614600
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DOI10.3842/sigma.2024.076MaRDI QIDQ6614600

Alex Little

Publication date: 7 October 2024

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)



zbMATH Keywords

Riemann-Hilbert problemrandom matricesskew-orthogonal polynomials


Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Boundary value problems in the complex plane (30E25) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Random matrices (algebraic aspects) (15B52) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50) Asymptotic representations in the complex plane (30E15) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37)








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