Expected number of real zeros for random orthogonal polynomials

DOI10.1017/S0305004116000839zbMath1414.30004arXiv1507.01258MaRDI QIDQ4600747

Xiaoju Xie, Doron S. Lubinsky, Igor E. Pritsker

Publication date: 12 January 2018

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.01258

zbMATH Keywords

expected number of zerosrandom orthogonal polynomialspotential theory with external fields

Mathematics Subject Classification ID

Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Random power series in one complex variable (30B20)

Related Items (9)

The density of complex zeros of random sums ⋮ Real zeros of random sums with i.i.d. coefficients ⋮ An asymptotic expansion for the expected number of real zeros of Kac-Geronimus polynomials ⋮ Zeros of random orthogonal polynomials with complex Gaussian coefficients ⋮ Variance of real zeros of random orthogonal polynomials ⋮ Joint distribution of conjugate algebraic numbers: a random polynomial approach ⋮ Real zeroes of random analytic functions associated with geometries of constant curvature ⋮ Persistence probability of a random polynomial arising from evolutionary game theory ⋮ Variance of real zeros of random orthogonal polynomials for varying and exponential weights

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