Bahçeşehir Üniversitesi Analiz ve Uygulamalı Matematik Seminerleri
Universality principles for random polynomials
Turgay Bayraktar
Sabanci University, Istanbul, Turkey, Türkiye
In this talk, I will present several universality principles concerned with zero distribution of random polynomials. In one direction, universality phenomenon indicates that under natural assumptions, asymptotic distribution of (appropriately normalized) zeros of random polynomials is independent of the choice of probability law defined on random polynomials. Another form of universality is asymptotic normality of smooth linear statistics of zeros.
