Dynamics of Zeroes Under Repeated Differentiation
DOI10.1080/10586458.2021.1980752arXiv2010.14320OpenAlexW3205498162MaRDI QIDQ6062275
Jeremy G. Hoskins, Zakhar Kabluchko
Publication date: 30 November 2023
Published in: Experimental Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.14320
critical pointslogarithmic potentialsfree probabilityrandom polynomialszeroesLegendre-Fenchel transformPDE'sCauchy-Stieltjes transformfree binomial distributionrepeated differentiation
Random matrices (probabilistic aspects) (60B20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Free probability and free operator algebras (46L54) Large deviations (60F10) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Transport processes in time-dependent statistical mechanics (82C70) Convergence of probability measures (60B10) Other special methods applied to PDEs (35A25) PDEs in connection with mechanics of particles and systems of particles (35Q70) Two-dimensional potential theory (31A99)
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