Zeros of derivatives of Gaussian random polynomials on plane domains

DOI10.1016/j.jmaa.2021.125229zbMath1470.30003OpenAlexW3141323085MaRDI QIDQ2033169

Tao Jiang, Yu Wang

Publication date: 14 June 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125229

zbMATH Keywords

expected density of zeros of derivativesGaussian random polynomials

Mathematics Subject Classification ID

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)

Cites Work

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• Zeros of a random analytic function approach perfect spacing under repeated differentiation
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• On the average number of real roots of a random algebraic equation
• A nonlocal transport equation modeling complex roots of polynomials under differentiation

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