An update on local universality limits for correlation functions generated by unitary ensembles

DOI10.3842/SIGMA.2016.078zbMath1347.15043arXiv1604.03133MaRDI QIDQ308687

Doron S. Lubinsky

Publication date: 6 September 2016

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.03133

zbMATH Keywords

orthogonal polynomialsrandom matricescorrelation functionsChristoffel functionsunitary ensembles

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) 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) Limit theorems in probability theory (60F99)

Related Items (10)

Spectral properties of block Jacobi matrices ⋮ Periodic perturbations of unbounded Jacobi matrices III: the soft edge regime ⋮ Scaling limits of Jacobi matrices and the Christoffel-Darboux kernel ⋮ Universality for conditional measures of the sine point process ⋮ On the spacing of zeros of paraorthogonal polynomials for singular measures ⋮ The {D}irichlet problem in weighted norm ⋮ Asymptotics of orthogonal polynomials with slowly oscillating recurrence coefficients ⋮ Boundaries of sine kernel universality for Gaussian perturbations of Hermitian matrices ⋮ Asymptotic behaviour of Christoffel-Darboux kernel via three-term recurrence relation. I ⋮ Christoffel functions for multiple orthogonal polynomials

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