Rostyslav Kozhan

Christoffel transform and multiple orthogonal polynomials

Kozhan, Rostyslav; Vaktnäs, Marcus

Part of Journal of Computational and Applied Mathematics, 2026

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Szego recurrence for multiple orthogonal polynomials on the unit circle

Kozhan, Rostyslav; Vaktnäs, Marcus

Part of Proceedings of the American Mathematical Society, p. 2983-2997, 2024

• DOI for Szego recurrence for multiple orthogonal polynomials on the unit circle

Global fluctuations for Multiple Orthogonal Polynomial Ensembles

Duits, Maurice; Fahs, Benjamin; Kozhan, Rostyslav

Part of Journal of Functional Analysis, 2021

• DOI for Global fluctuations for Multiple Orthogonal Polynomial Ensembles

Relative Szego Asymptotics for Toeplitz Determinants

Duits, Maurice; Kozhan, Rostyslav

Part of International mathematics research notices, p. 5441-5496, 2019

• DOI for Relative Szego Asymptotics for Toeplitz Determinants

Rank One Non-Hermitian Perturbations of Hermitian β-Ensembles of Random Matrices

Kozhan, Rostyslav

Part of Journal of statistical physics, p. 92-108, 2017

• DOI for Rank One Non-Hermitian Perturbations of Hermitian β-Ensembles of Random Matrices

Matrix Models and Eigenvalue Statistics for Truncations of Classical Ensembles of Random Unitary Matrices

Killip, Rowan; Kozhan, Rostyslav

Part of Communications in Mathematical Physics, p. 991-1027, 2017

• DOI for Matrix Models and Eigenvalue Statistics for Truncations of Classical Ensembles of Random Unitary Matrices

Finite range perturbations of finite gap Jacobi and CMV operators

Kozhan, Rostyslav

Part of Advances in Mathematics, p. 204-226, 2016

• DOI for Finite range perturbations of finite gap Jacobi and CMV operators

Christoffel transform and multiple orthogonal polynomials

Kozhan, Rostyslav; Vaktnäs, Marcus

Part of Journal of Computational and Applied Mathematics, 2026

• DOI for Christoffel transform and multiple orthogonal polynomials
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Zeros of multiple orthogonal polynomials: location and interlacing

Kozhan, Rostyslav; Vaktnäs, Marcus

Part of Bulletin of the London Mathematical Society, 2026

• DOI for Zeros of multiple orthogonal polynomials: location and interlacing
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Multiplicative non-Hermitian perturbations of classical β-ensembles

Alpan, Gökalp; Kozhan, Rostyslav

Part of Random Matrices. Theory and Applications, 2025

• DOI for Multiplicative non-Hermitian perturbations of classical β-ensembles

Szego recurrence for multiple orthogonal polynomials on the unit circle

Kozhan, Rostyslav; Vaktnäs, Marcus

Part of Proceedings of the American Mathematical Society, p. 2983-2997, 2024

• DOI for Szego recurrence for multiple orthogonal polynomials on the unit circle

A generalized Hermite-Biehler theorem and non-Hermitian perturbations of Jacobi matrices

Kozhan, Rostyslav; Tyaglov, Mikhail

Part of Journal of Mathematical Analysis and Applications, 2024

• DOI for A generalized Hermite-Biehler theorem and non-Hermitian perturbations of Jacobi matrices
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Christoffel transform and multiple orthogonal polynomials

Kozhan, Rostyslav; Vaktnäs, Marcus

Part of Journal of Computational and Applied Mathematics, 2026

• DOI for Christoffel transform and multiple orthogonal polynomials
• Download full text (pdf) of Christoffel transform and multiple orthogonal polynomials

Zeros of multiple orthogonal polynomials: location and interlacing

Kozhan, Rostyslav; Vaktnäs, Marcus

Part of Bulletin of the London Mathematical Society, 2026

• DOI for Zeros of multiple orthogonal polynomials: location and interlacing
• Download full text (pdf) of Zeros of multiple orthogonal polynomials: location and interlacing

Multiplicative non-Hermitian perturbations of classical β-ensembles

Alpan, Gökalp; Kozhan, Rostyslav

Part of Random Matrices. Theory and Applications, 2025

• DOI for Multiplicative non-Hermitian perturbations of classical β-ensembles

Szego recurrence for multiple orthogonal polynomials on the unit circle

Kozhan, Rostyslav; Vaktnäs, Marcus

Part of Proceedings of the American Mathematical Society, p. 2983-2997, 2024

• DOI for Szego recurrence for multiple orthogonal polynomials on the unit circle

A generalized Hermite-Biehler theorem and non-Hermitian perturbations of Jacobi matrices

Kozhan, Rostyslav; Tyaglov, Mikhail

Part of Journal of Mathematical Analysis and Applications, 2024

• DOI for A generalized Hermite-Biehler theorem and non-Hermitian perturbations of Jacobi matrices
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Correction to: Jost Asymptotics for Matrix Orthogonal Polynomials on the Real Line

Kozhan, Rostyslav

Part of Constructive approximation, p. 545-549, 2023

• DOI for Correction to: Jost Asymptotics for Matrix Orthogonal Polynomials on the Real Line

Hermitian and non-Hermitian perturbations of chiral Gaussian beta-ensembles

Alpan, Gökalp; Kozhan, Rostyslav

Part of Journal of Mathematical Physics, 2022

• DOI for Hermitian and non-Hermitian perturbations of chiral Gaussian beta-ensembles

Global fluctuations for Multiple Orthogonal Polynomial Ensembles

Duits, Maurice; Fahs, Benjamin; Kozhan, Rostyslav

Part of Journal of Functional Analysis, 2021

• DOI for Global fluctuations for Multiple Orthogonal Polynomial Ensembles

Differential equations for the recurrence coefficients limits for multiple orthogonal polynomials from a Nevai class

Aptekarev, Alexander; Kozhan, Rostyslav

Part of Journal of Approximation Theory, 2020

• DOI for Differential equations for the recurrence coefficients limits for multiple orthogonal polynomials from a Nevai class

Relative Szego Asymptotics for Toeplitz Determinants

Duits, Maurice; Kozhan, Rostyslav

Part of International mathematics research notices, p. 5441-5496, 2019

• DOI for Relative Szego Asymptotics for Toeplitz Determinants

Rank One Non-Hermitian Perturbations of Hermitian β-Ensembles of Random Matrices

Kozhan, Rostyslav

Part of Journal of statistical physics, p. 92-108, 2017

• DOI for Rank One Non-Hermitian Perturbations of Hermitian β-Ensembles of Random Matrices

Matrix Models and Eigenvalue Statistics for Truncations of Classical Ensembles of Random Unitary Matrices

Killip, Rowan; Kozhan, Rostyslav

Part of Communications in Mathematical Physics, p. 991-1027, 2017

• DOI for Matrix Models and Eigenvalue Statistics for Truncations of Classical Ensembles of Random Unitary Matrices

Finite range perturbations of finite gap Jacobi and CMV operators

Kozhan, Rostyslav

Part of Advances in Mathematics, p. 204-226, 2016

• DOI for Finite range perturbations of finite gap Jacobi and CMV operators

Meromorphic Continuations of Finite Gap Herglotz Functions and Periodic Jacobi Matrices

Kozhan, Rostyslav

Part of Communications in Mathematical Physics, p. 921-950, 2014

• DOI for Meromorphic Continuations of Finite Gap Herglotz Functions and Periodic Jacobi Matrices

Jost Asymptotics for Matrix Orthogonal Polynomials on the Real Line

Kozhan, Rostyslav

Part of Constructive approximation, p. 267-309, 2012

• DOI for Jost Asymptotics for Matrix Orthogonal Polynomials on the Real Line

Equivalence classes of block Jacobi matrices

Kozhan, Rostyslav

Part of Proceedings of the American Mathematical Society, p. 799-799, 2011

• DOI for Equivalence classes of block Jacobi matrices

Szegő asymptotics for matrix-valued measures with countably many bound states

Kozhan, Rostyslav

Part of Journal of Approximation Theory, p. 1211-1224, 2010

• DOI for Szegő asymptotics for matrix-valued measures with countably many bound states

L 1-spectrum of Banach space valued Ornstein–Uhlenbeck operators

Kozhan, Rostyslav

Part of Semigroup Forum, p. 547-553, 2008

• DOI for L 1-spectrum of Banach space valued Ornstein–Uhlenbeck operators

Asymptotics of the eigenvalues of two-diagonal Jacobi matrices

Kozhan, Rostyslav

Part of Mathematical notes of the Academy of Sciences of the USSR, p. 283-287, 2005

• DOI for Asymptotics of the eigenvalues of two-diagonal Jacobi matrices

On Gaussian random matrices coupled to the discrete Laplacian

Kozhan, Rostyslav

Part of Analysis as a Tool in Mathematical Physics, p. 434-447, Birkhäuser Verlag, 2020

• DOI for On Gaussian random matrices coupled to the discrete Laplacian