T. Shcherbina

collaborators

3 papers

math-ph2026

Characteristic polynomials of non-Hermitian random band matrices near the threshold

Mariya Shcherbina, Tatyana Shcherbina

The paper arXiv:2510.04255 shows that the asymptotic behavior of the second correlation function of characteristic polynomials of the $N \times N$ non-Hermitian random band matrices…

math-ph2025

Characteristic polynomials of non-Hermitian random band matrices

Mariya Shcherbina, Tatyana Shcherbina

We consider the asymptotic local behavior of the second correlation functions of the characteristic polynomials of a certain class of Gaussian $N \times N$ non-Hermitian random band…

math-ph2025

Universality of the second correlation function of the deformed Ginibre ensemble

Ievgenii Afanasiev, Mariya Shcherbina, Tatyana Shcherbina

We study the deformed complex Ginibre ensemble $H = A_{0} + H_{0}$ , where $H_{0}$ is the complex matrix with iid Gaussian entries, and $A_{0}$ is some general $n \times n$ matrix (it can be ran…