Zeros of random polynomials and their higher derivatives

DOI10.1090/tran/8674OpenAlexW4283717483MaRDI QIDQ5098835

Jaehun Lee, Tulasi Ram Reddy, Sung-Soo Byun

Publication date: 31 August 2022

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tran/8674

zbMATH Keywords

random polynomialslogarithmic potential theoryzeros of derivatives2D Coulomb gaszeros of characteristic 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) Stochastic processes (60G99)

Related Items (2)

Free Convolution Powers Via Roots of Polynomials ⋮ Almost sure behavior of the critical points of random polynomials

Cites Work

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• Asymptotic distribution of complex zeros of random analytic functions
• On the distribution of critical points of a polynomial
• Differentiators and the geometry of polynomials.
• Concentration for Coulomb gases and Coulomb transport inequalities
• Random matrices: universality of ESDs and the circular law
• Higher-order, polar and Sz.-Nagy's generalized derivatives of random polynomials with independent and identically distributed zeros on the unit circle
• Pairing of zeros and critical points for random polynomials
• Limiting empirical distribution of zeros and critical points of random polynomials agree in general
• The Distribution of Zeros of the Derivative of a Random Polynomial
• Roots of the derivative of the Riemann-zeta function and of characteristic polynomials
• Saddle points in the chaotic analytic function and Ginibre characteristic polynomial
• Critical Points of Random Polynomials and Characteristic Polynomials of Random Matrices
• Pairing between zeros and critical points of random polynomials with independent roots
• Coulomb gas ensembles and Laplacian growth
• Correlations and Pairing between Zeros and Critical Points of Gaussian Random Polynomials
• Inverse spectral problem for normal matrices and the Gauss-Lucas theorem
• Critical points of random polynomials with independent identically distributed roots
• Determinantal point processes in the plane from products of random matrices

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