TY - JOUR

T1 - Asymptotic behavior of roots of random polynomial equations

AU - Shmerling, Efraim

AU - Hochberg, Kenneth J.

PY - 2002/9

Y1 - 2002/9

N2 - We derive several new results on the asymptotic behavior of the roots of random polynomial equations, including conditions under which the distributions of the zeros of certain random polynomials tend to the uniform distribution on the circumference of a circle centered at the origin. We also derive a probabilistic analog of the Cauchy-Hadamand theorem that enables us to obtain the radius of convergence of a random power series.

AB - We derive several new results on the asymptotic behavior of the roots of random polynomial equations, including conditions under which the distributions of the zeros of certain random polynomials tend to the uniform distribution on the circumference of a circle centered at the origin. We also derive a probabilistic analog of the Cauchy-Hadamand theorem that enables us to obtain the radius of convergence of a random power series.

KW - Random polynomials

UR - http://www.scopus.com/inward/record.url?scp=0036721235&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-02-06340-2

DO - 10.1090/S0002-9939-02-06340-2

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AN - SCOPUS:0036721235

SN - 0002-9939

VL - 130

SP - 2761

EP - 2770

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 9

ER -