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 -