A Semicircle Law for Derivatives of Random Polynomials

DOI10.1093/IMRN/RNAA376zbMath1492.60036arXiv2005.09809OpenAlexW3132078665MaRDI QIDQ5088638

Stefan Steinerberger, Jeremy G. Hoskins

Publication date: 13 July 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.09809

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Combinatorial probability (60C05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Functional limit theorems; invariance principles (60F17)

Related Items (4)

The flow of polynomial roots under differentiation ⋮ Free Convolution Powers Via Roots of Polynomials ⋮ Dynamics of Zeroes Under Repeated Differentiation ⋮ Zeros of derivatives of Gaussian random polynomials on plane domains

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