6 citations · 8 across the 3 of their papers we have counts for
5 papers
Global fluctuations for Multiple Orthogonal Polynomial Ensembles
Maurice Duits, Benjamin Fahs, Rostyslav Kozhan
We study the fluctuations of linear statistics with polynomial test functions for Multiple Orthogonal Polynomial Ensembles. Multiple Orthogonal Polynomial Ensembles form an importa…
Differential equations for the recurrence coefficients limits for multiple orthogonal polynomials from a Nevai class
Alexander I. Aptekarev, Rostyslav Kozhan
A limiting property of the nearest-neighbor recurrence coefficients for multiple orthogonal polynomials from a Nevai class is investigated. Namely, assuming that the nearest-neighb…
On Gaussian random matrices coupled to the discrete Laplacian
Rostyslav Kozhan
We study operators obtained by coupling an random matrix from one of the Gaussian ensembles to the discrete Laplacian. We find the joint distribution of the eigenvalue…
Asymptotics of the Eigenvalues of Two-Diagonal Jacobi Matrices
Rostyslav Kozhan
We compute the asymptotics of eigenvalues of Jacobi matrices with the zero coefficients on the main diagonal and the off-diagonal coefficients which converge to zero.
L1-spectrum of Banach space valued Ornstein-Uhlenbeck operators
Rostyslav Kozhan
We characterize the -spectrum of the Ornstein-Uhlenbeck operator, where is the invariant measure for the Ornstein-Uhlenbeck semigroup. The main result c…