Distances between zeroes and critical points for random polynomials with i.i.d. zeroes

DOI10.1214/19-EJP295zbMath1420.30003arXiv1807.02140MaRDI QIDQ2631860

Zakhar Kabluchko, Hauke Seidel

Publication date: 16 May 2019

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.02140

zbMATH Keywords

zeroscritical pointsrandom polynomialscomplex Gaussian distribution

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) Random measures (60G57) Convergence of probability measures (60B10) Random power series in one complex variable (30B20)

Related Items (6)

The flow of polynomial roots under differentiation ⋮ Unnamed Item ⋮ Free Convolution Powers Via Roots of Polynomials ⋮ Dynamics of Zeroes Under Repeated Differentiation ⋮ Almost sure behavior of the critical points of random polynomials ⋮ On the local pairing behavior of critical points and roots of random polynomials

Cites Work

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