Bulk universality holds pointwise in the mean for compactly supported measures

DOI10.1307/MMJ/1347040263zbMath1266.42068OpenAlexW2089897834MaRDI QIDQ715714

Doron S. Lubinsky

Publication date: 31 October 2012

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.mmj/1347040263

zbMATH Keywords

orthogonal polynomialsuniversalityreproducing kernels

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Entire functions of one complex variable (general theory) (30D20) Random matrices (algebraic aspects) (15B52)

Related Items (2)

An update on local universality limits for correlation functions generated by unitary ensembles ⋮ Two universality results for polynomial reproducing kernels

Cites Work

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• Bulk universality holds in measure for compactly supported measures
• Bulk universality and clock spacing of zeros for ergodic Jacobi matrices with absolutely continuous spectrum
• A new approach to universality limits involving orthogonal polynomials
• Universality limits in the bulk for varying measures
• Two extensions of Lubinsky's universality theorem
• Universality for locally Szegő measures
• Universality limits in the bulk for arbitrary measures on compact sets
• Universality and fine zero spacing on general sets
• Asymptotics for Christoffel functions for general measures on the real line
• Universality Under Szegő’s Condition
• Discrete Orthogonal Polynomials. (AM-164): Asymptotics and Applications (AM-164)
• Orthogonal polynomials
• The Christoffel-Darboux Kernel

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