Equidistribution of zeros of random polynomials

DOI10.1016/j.jat.2016.12.001zbMath1425.60045arXiv1607.02855OpenAlexW2963362747MaRDI QIDQ505902

Koushik Ramachandran, Igor E. Pritsker

Publication date: 26 January 2017

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.02855

zbMATH Keywords

orthogonal polynomialszero distributionrandom polynomials

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10)

Related Items (8)

Random trigonometric polynomials: universality and non-universality of the variance for the number of real roots ⋮ A necessary and sufficient condition for convergence of the zeros of random polynomials ⋮ Distribution of zeros for random Laurent rational functions ⋮ Joint distribution of conjugate algebraic numbers: a random polynomial approach ⋮ Asymptotic zero distribution of random orthogonal polynomials ⋮ An asymptotic expansion for the expected number of real zeros of real random polynomials spanned by OPUC ⋮ On global universality for zeros of random polynomials ⋮ Natural boundary and zero distribution of random polynomials in smooth domains

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