17 citations · 42 across the 10 of their papers we have counts for
11 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…
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 ]…
An Update on Local Universality Limits for Correlation Functions Generated by Unitary Ensembles
Doron S. Lubinsky
We survey the current status of universality limits for -point correlation functions in the bulk and at the edge for unitary ensembles, primarily when the limiting kernels are A…
Simultaneous Gaussian quadrature for Angelesco systems
Doron S. Lubinsky, Walter Van Assche
We investigate simultaneous Gaussian quadrature for two integrals of the same function but on two disjoint intervals. The quadrature nodes are zeros of a type II multiple ortho…
Sobolev orthogonal polynomials on the unit ball via outward normal derivatives
Antonia M. Delgado, Lidia Fernández, Doron Lubinsky +2
We analyse a family of mutually orthogonal polynomials on the unit ball with respect to an inner product which involves the outward normal derivatives on the sphere. Using their re…
Expected number of real zeros for random orthogonal polynomials
Doron S. Lubinsky, Igor E. Pritsker, Xiaoju Xie
We study the expected number of real zeros for random linear combinations of orthogonal polynomials. It is well known that Kac polynomials, spanned by monomials with i.i.d. Gaussia…