Random polynomials and (pluri)potential theory

DOI10.4064/ap91-2-3zbMath1125.30002OpenAlexW2010722118MaRDI QIDQ5295032

Thomas Bloom

Publication date: 26 July 2007

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap91-2-3

zbMATH Keywords

equilibrium measurepluricomplex Green functionrandom polynomial

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) Plurisubharmonic extremal functions, pluricomplex Green functions (32U35)

Related Items (16)

Zero distribution of random Bernoulli polynomial mappings ⋮ Expected number of real zeros for random orthogonal polynomials ⋮ Quantum ergodic sequences and equilibrium measures ⋮ Zeros of polynomials with random coefficients ⋮ Convergence of random zeros on complex manifolds ⋮ A necessary and sufficient condition for convergence of the zeros of random polynomials ⋮ Equidistribution of zeros of random polynomials ⋮ Distribution of zeros for random Laurent rational functions ⋮ Zeros of random orthogonal polynomials with complex Gaussian coefficients ⋮ Random polynomials and pluripotential-theoretic extremal functions ⋮ Asymptotic zero distribution of random orthogonal polynomials ⋮ Zero distribution of random polynomials ⋮ Asymptotics for Christoffel functions of planar measures ⋮ An asymptotic expansion for the expected number of real zeros of real random polynomials spanned by OPUC ⋮ On global universality for zeros of random polynomials ⋮ Expected number of real zeros for random Freud orthogonal polynomials

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