Turgay Bayraktar
Abstract: In this note, we prove asymptotic normality of smooth linear statistics of
zeros of random polynomials which are linear combinations of orthogonal
polynomials with iid standard Gaussian coefficients. Along the way, we obtain
Bergman kernel asymptotics for weighted $L^2$ space of polynomials for varying
measures under a suitable assumption on the curvature forms of the weights.
ArXiv: 1604.02007