2 citations · 11 across the 27 of their papers we have counts for
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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 ]…
Natural boundary and zero distribution of random polynomials in smooth domains
Igor Pritsker, Koushik Ramachandran
We consider the zero distribution of random polynomials of the form , where are non-trivial i.i.d. complex random variabl…
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…
Expected number of real zeros for random Freud orthogonal polynomials
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…
Expected number of real zeros for random linear combinations of orthogonal polynomials
D. S. Lubinsky, I. E. Pritsker, X. 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…
Zero Distribution of Random Polynomials
Igor E. Pritsker
We study global distribution of zeros for a wide range of ensembles of random polynomials. Two main directions are related to almost sure limits of the zero counting measures, and…
Zeros of Polynomials with Random Coefficients
Igor E. Pritsker, Aaron M. Yeager
Zeros of many ensembles of polynomials with random coefficients are asymptotically equidistributed near the unit circumference. We give quantitative estimates for such equidistribu…