Combinatorics and Probability Seminar
Hoi Nguyen
OSU
Central Limit Theorem for the number of real roots of gaussian random orthogonal polynomials
Abstract: In this talk we discuss the number of real roots of a wide class of random orthogonal polynomials with gaussian coefficients. Using the method of Wiener Chaos we will show that the fluctuation in the bulk is asymptotically gaussian, even when the local correlations are different. We will also discuss partial progress toward the case of non-gaussian coefficients.
Monday February 20, 2023 at 3:00 PM in 612 SEO