On the distribution of critical points of a polynomial

DOI10.1214/ECP.v17-2040zbMath1261.60051arXiv1207.0125MaRDI QIDQ456265

Sneha Dey Subramanian

Publication date: 23 October 2012

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

Full work available at URL: https://arxiv.org/abs/1207.0125

zbMATH Keywords

critical pointsrandom polynomialsPemantle-Rivin conjecture

Mathematics Subject Classification ID

Stochastic processes (60G99)

Related Items (13)

Distances between zeroes and critical points for random polynomials with i.i.d. zeroes ⋮ The flow of polynomial roots under differentiation ⋮ Unnamed Item ⋮ Zeros of random polynomials and their higher derivatives ⋮ 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 ⋮ Pairing between zeros and critical points of random polynomials with independent roots ⋮ Sums of random polynomials with independent roots ⋮ Zeros of derivatives of Gaussian random polynomials on plane domains ⋮ Critical points of random polynomials with independent identically distributed roots ⋮ Higher-order, polar and Sz.-Nagy's generalized derivatives of random polynomials with independent and identically distributed zeros on the unit circle

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