Universality Limits at the Soft Edge of the Spectrum via Classical Complex Analysis

DOI10.1093/imrn/rnq185zbMath1235.42023OpenAlexW2326133403MaRDI QIDQ3021608

Eli Levin, Doron S. Lubinsky

Publication date: 26 July 2011

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2dbcd0334a9a2a2e36f6c927076a4093c564a8aa

zbMATH Keywords

orthogonal polynomialspotential theoryreproducing kernelequilibrium measureratio asymptoticsAiry kernelBorel measuresChristoffel functionsvarying measures

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) Integration with respect to measures and other set functions (28A25) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (8)

An update on local universality limits for correlation functions generated by unitary ensembles ⋮ Bulk universality holds in measure for compactly supported measures ⋮ Some recent methods for establishing universality limits ⋮ Scaling Limits of Polynomials and Entire Functions of Exponential Type ⋮ Local limits for orthogonal polynomials for varying measures via universality ⋮ Two universality results for polynomial reproducing kernels ⋮ Boundaries of sine kernel universality for Gaussian perturbations of Hermitian matrices ⋮ Universality limits for random matrices and de Branges spaces of entire functions

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