Real roots of random polynomials: expectation and repulsion

DOI10.1112/plms/pdv055zbMath1356.60084arXiv1409.4128OpenAlexW3101742222MaRDI QIDQ3466890

Yen Do, Van H. Vu, Hoi H. Nguyen

Publication date: 25 January 2016

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

Full work available at URL: https://arxiv.org/abs/1409.4128

zbMATH Keywords

real rootsKac random polynomialatom variable

Mathematics Subject Classification ID

Combinatorial probability (60C05) Stochastic processes (60G99) Random matrices (algebraic aspects) (15B52) Real polynomials: location of zeros (26C10) Foundations of stochastic processes (60G05)

Related Items (8)

Random orthonormal polynomials: Local universality and expected number of real roots ⋮ Universality of the minimum modulus for random trigonometric polynomials ⋮ How many real zeros does a random Dirichlet series have? ⋮ Expected number of real zeroes of random Taylor series ⋮ Roots of random polynomials with coefficients of polynomial growth ⋮ Real zeroes of random analytic functions associated with geometries of constant curvature ⋮ Real roots of random polynomials with coefficients of polynomial growth: a comparison principle and applications ⋮ Roots of random functions: A framework for local universality

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