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math.PR2023
Multiplicative non-Hermitian perturbations of classical -ensembles
Gökalp Alpan, Rostyslav Kozhan
We compute the joint eigenvalue distribution for a multiplicative non-Hermitian perturbation , of a random matrix from the Gaussian, Laguerr…
math.CA2023
A generalized Hermite-Biehler theorem
Rostyslav Kozhan, Mikhail Tyaglov
The classical Hermite-Biehler theorem describes possible zero sets of complex linear combinations of two real polynomials whose zeros strictly interlace. We provide the full charac…