Asymptotic properties of polynomials orthogonal with respect to varying weights, and related topics of spectral theory

DOI10.1090/S1061-0022-2014-01287-3zbMath1304.37054MaRDI QIDQ2930917

No author found.

Publication date: 20 November 2014

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

asymptoticsRiemann-Hilbert problemspectral theoryvarying weights

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Riemann-Hilbert problems in context of PDEs (35Q15)

Cites Work

• A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics
• Quantum field theory techniques in graphical enumeration
• Discrete Painlevé equations and their appearance in quantum gravity
• The isomonodromy approach to matrix models in 2D quantum gravity
• Almost periodic Jacobi matrices with homogeneous spectrum, infinite dimensional Jacobi inversion, and Hardy spaces of character-automorphic functions
• Weighted approximation with varying weight
• Asymptotic behavior of polynomials orthonormal on a homogeneous set
• Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model
• From random matrices to quasi-periodic Jacobi matrices via orthogonal polynomials
• Extremal polynomials associated with a system of curves in the complex plane
• The Steepest Descent Method for Orthogonal Polynomials on the Real Line with Varying Weights
• Trace formulae for a class of Jacobi operators
• Generic behavior of the density of states in random matrix theory and equilibrium problems in the presence of real analytic external fields
• Breakdown of universality in multi-cut matrix models
• Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
• Families of equilibrium measures in an external field on the real axis
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Asymptotic properties of polynomials orthogonal with respect to varying weights, and related topics of spectral theory