Rostyslav Kozhan

activity

20092026

most citedMatrix models and eigenvalue statistics for truncations of classical ensembles of random unitary matrices

12 citations · 38 across the 23 of their papers we have counts for

collaborators

Showing 2012Show all

4 papers · 1 filter

math.CA2012★ 2 cited

Spectral and resonance problem for perturbations of periodic Jacobi operators

Rostyslav Kozhan

Necessary and sufficient conditions are presented for a measure to be the spectral measure of a finite range or exponentially decaying perturbation of a periodic Jacobi operator. A…

math.SP2012★ 6 cited

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.

math.CA2012★ 2 cited

L1-spectrum of Banach space valued Ornstein-Uhlenbeck operators

Rostyslav Kozhan

We characterize the $L^{1} (E; μ_{\infty})$ -spectrum of the Ornstein-Uhlenbeck operator, where $μ_{\infty}$ is the invariant measure for the Ornstein-Uhlenbeck semigroup. The main result c…

math.SP2012★ 1 cited

Meromorphic continuations of finite gap Herglotz functions and periodic Jacobi matrices

Rostyslav Kozhan

We find a necessary and sufficient condition for a Herglotz function $m$ to be the Borel transform of the spectral measure of an exponentially decaying perturbation of a periodic J…