Computation of equilibrium measures

DOI10.1016/j.jat.2011.03.010zbMath1241.31004OpenAlexW2069175799MaRDI QIDQ719357

Sheehan Olver

Publication date: 10 October 2011

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2011.03.010

zbMATH Keywords

orthogonal polynomialsrandom matricesequilibrium measureRiemann-Hilbert problems

Mathematics Subject Classification ID

General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Boundary value problems in the complex plane (30E25) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (12)

An Analytic and Numerical Analysis of Weighted Singular Cauchy Integrals with Exponential Weights on ℝ ⋮ Computing equilibrium measures with power law kernels ⋮ Computation of power law equilibrium measures on balls of arbitrary dimension ⋮ Numerical inverse scattering for the Korteweg-de Vries and modified Korteweg-de Vries equations ⋮ Pluripotential numerics ⋮ Numerical solution of Riemann-Hilbert problems: random matrix theory and orthogonal polynomials ⋮ Orthogonal polynomials of equilibrium measures supported on Cantor sets ⋮ A fast and well-conditioned spectral method for singular integral equations ⋮ Numerical inverse scattering for the Toda lattice ⋮ Change of variable formulas for regularizing slowly decaying and oscillatory Cauchy and Hilbert transforms ⋮ Fast sampling from \(\beta \)-ensembles ⋮ Sampling unitary ensembles

Uses Software

• DLMF
• RHPackage

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A general framework for solving Riemann-Hilbert problems numerically
• Numerical solution of Riemann-Hilbert problems: Painlevé II
• New results on the equilibrium measure for logarithmic potentials in the presence of an external field
• Computing the Hilbert transform and its inverse
• THE COLLEAGUE MATRIX, A CHEBYSHEV ANALOGUE OF THE COMPANION MATRIX
• Generic behavior of the density of states in random matrix theory and equilibrium problems in the presence of real analytic external fields
• Is Gauss Quadrature Better than Clenshaw–Curtis?
• The Numerical Solution of Fredholm integral Equations of the Second Kind
• Méthode des points extrémaux de résolution du problème de Dirichlet dans l'espace

This page was built for publication: Computation of equilibrium measures