Central Limit Theorems for the Real Zeros of Weyl Polynomials

DOI10.1353/ajm.2020.0034zbMath1486.60043arXiv1707.09276OpenAlexW3083058706MaRDI QIDQ5147255

Van H. Vu, Yen Do

Publication date: 3 February 2021

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.09276

zbMATH Keywords

central limit theoremrandom polynomial with Gaussian coefficientsreal roots or random polynomialWeil random polynomial

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items (5)

Zeros of smooth stationary Gaussian processes ⋮ Persistence probability of random Weyl polynomial ⋮ Persistence probability of a random polynomial arising from evolutionary game theory ⋮ Random polynomials: central limit theorems for the real roots ⋮ Real roots of random polynomials with coefficients of polynomial growth: a comparison principle and applications

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