2 citations · 11 across the 27 of their papers we have counts for
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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…
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 ]…
House of algebraic integers symmetric about the unit circle
Igor E. Pritsker
We give a Schinzel-Zassenhaus-type lower bound for the maximum modulus of roots of a monic integer polynomial with all roots symmetric with respect to the unit circle. Our results…
Heights of polynomials over lemniscates
Igor Pritsker
We consider a family of heights defined by the norms of polynomials with respect to the equilibrium measure of a lemniscate for , where corresponds…