Universality limits for random matrices and de Branges spaces of entire functions

DOI10.1016/j.jfa.2009.02.021zbMath1184.46029OpenAlexW1989213926MaRDI QIDQ1024568

Doron S. Lubinsky

Publication date: 17 June 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2009.02.021

zbMATH Keywords

orthogonal polynomialsrandom matricesuniversality limitsde Branges spaces

Mathematics Subject Classification ID

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) Random matrices (algebraic aspects) (15B52) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (12)

An update on local universality limits for correlation functions generated by unitary ensembles ⋮ On Christoffel Functions and Related Quantities for Compactly Supported Measures ⋮ Applications of de Branges Spaces of Vector-Valued Functions ⋮ Bulk universality holds in measure for compactly supported measures ⋮ Scaling limits of Jacobi matrices and the Christoffel-Darboux kernel ⋮ Asymptotics of orthogonal polynomials for a weight with a jump on \([-1,1\)] ⋮ Some recent methods for establishing universality limits ⋮ Root statistics of random polynomials with bounded Mahler measure ⋮ New integral identities for orthogonal polynomials on the real line ⋮ Two universality results for polynomial reproducing kernels ⋮ Applications of new Geronimus type identities for real orthogonal polynomials ⋮ Rescaling Ward identities in the random normal matrix model

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