A variational principle for correlation functions for unitary ensembles, with applications

DOI10.2140/apde.2013.6.109zbMath1281.15044OpenAlexW2048703666MaRDI QIDQ371157

Doron S. Lubinsky

Publication date: 27 September 2013

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/apde.2013.6.109

zbMATH Keywords

orthogonal polynomialsrandom matricescorrelation functionsdeterminantreproducing kernelChristoffel functionsunitary ensembles

Mathematics Subject Classification ID

Measures of association (correlation, canonical correlation, etc.) (62H20) Random matrices (probabilistic aspects) (60B20) Determinants, permanents, traces, other special matrix functions (15A15) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Random matrices (algebraic aspects) (15B52) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (2)

An update on local universality limits for correlation functions generated by unitary ensembles ⋮ \(L_p\) Christoffel functions, \(L_p\) universality, and Paley-Wiener spaces

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