CLT for the zeros of Kostlan Shub Smale random polynomials

Abstract

In this paper we find the asymptotic main term of the variance of the number of roots of Kostlan-Shub-Smale random polynomials and prove a central limit theorem for the number of roots as the degree goes to infinity.

arXiv comment12 pages

References in corpus (2)

• Real Roots of Random Polynomials and Zero Crossing Properties of Diffusion Equation
• CLT for the zeros of Classical Random Trigonometric Polynomials

Cited by in corpus (1)

• Central limit theorems for the real zeros of Weyl polynomials