2 citations · 11 across the 27 of their papers we have counts for
41 papers
Real roots of random orthogonal polynomials with exponential weights
Yen Do, Doron Lubinsky, Hoi H. Nguyen +2
We consider random orthonormal polynomials where , . . . , are independent random variables with zero mean, unit variance…
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…
Extremal problems for polynomials with real roots
Arturas Dubickas, Igor Pritsker
We consider polynomials of degree with only real roots and a fixed value of discriminant, and study the problem of minimizing the absolute value of polynomials at a fixed point…