Limiting empirical distribution of zeros and critical points of random polynomials agree in general
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Publication:2411865
DOI10.1214/17-EJP85zbMath1376.30003arXiv1609.00675MaRDI QIDQ2411865
Publication date: 25 October 2017
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.00675
Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Convergence of probability measures (60B10)
Related Items (7)
Distances between zeroes and critical points for random polynomials with i.i.d. zeroes ⋮ 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 ⋮ Sums of random polynomials with independent roots
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