The global parametrix in the Riemann-Hilbert steepest descent analysis for orthogonal polynomials

DOI10.1007/BF03321795zbMath1245.34086arXiv0909.5626OpenAlexW2080284535MaRDI QIDQ643200

Arno B. J. Kuijlaars, Man Yue Mo

Publication date: 28 October 2011

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.5626

zbMATH Keywords

Riemann-Hilbert problemsolvabilitymeromorphic differentials

Mathematics Subject Classification ID

Differentials on Riemann surfaces (30F30) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50)

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Cites Work

• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
• Universality in the two matrix model with a monomial quartic and a general even polynomial potential
• A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics
• On the algebro-geometric integration of the Schlesinger equations
• Solution of matrix Riemann-Hilbert problems with quasi-permutation monodromy matrices
• A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
• The Hermitian two matrix model with an even quartic potential
• Random matrix model with external source and a constrained vector equilibrium problem
• The Riemann-Hilbert problem
• Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrodinger Equation (AM-154)
• Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
• Universality in the two‐matrix model: a Riemann‐Hilbert steepest‐descent analysis
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