Asymptotic zero distribution of random orthogonal polynomials

DOI10.1214/19-AOP1337zbMath1446.30004arXiv1801.10125MaRDI QIDQ2280555

Thomas Bloom, Duncan Dauvergne

Publication date: 18 December 2019

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.10125

zbMATH Keywords

orthogonal polynomialspotential theoryequilibrium measurelogarithmic potentialcomplex zerosrandom polynomialsBernstein-Markov property

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Random measures (60G57) Convergence of probability measures (60B10)

Related Items (6)

Random trigonometric polynomials: universality and non-universality of the variance for the number of real roots ⋮ Zero distribution of random Bernoulli polynomial mappings ⋮ A necessary and sufficient condition for convergence of the zeros of random polynomials ⋮ An asymptotic expansion for the expected number of real zeros of Kac-Geronimus polynomials ⋮ Mass equidistribution for random polynomials ⋮ Extremal particles of two-dimensional Coulomb gases and random polynomials on a positive background

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