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Central Limit Theorem for the number of real roots of random orthogonal polynomials
Yen Do, Hoi H. Nguyen, Oanh Nguyen +1
In this note we study the number of real roots of a wide class of random orthogonal polynomials with gaussian coefficients. Using the method of Wiener Chaos we show that the fluctu…
math.PR2021
Variance of real zeros of random orthogonal polynomials
Doron S. Lubinsky, Igor E. Pritsker
We determine the asymptotics for the variance of the number of zeros of random linear combinations of orthogonal polynomials of degree in subintervals $\left [ a,b\right ]…