39 citations · 156 across the 16 of their papers we have counts for
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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 non-Hermitian random band matrices…
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 non-Hermitian random band…
Universality of the second correlation function of the deformed Ginibre ensemble
Ievgenii Afanasiev, Mariya Shcherbina, Tatyana Shcherbina
We study the deformed complex Ginibre ensemble , where is the complex matrix with iid Gaussian entries, and is some general matrix (it can be ran…
Characteristic polynomials of sparse non-Hermitian random matrices
Ievgenii Afanasiev, Tatyana Shcherbina
We consider the asymptotic local behavior of the second correlation function of the characteristic polynomials of sparse non-Hermitian random matrices whose entries have the…
The least singular value of the general deformed Ginibre ensemble
Mariya Shcherbina, Tatyana Shcherbina
We study the least singular value of the matrix with , where is drawn from the complex Ginibre ensemble of matrices with iid Gaussian entries, an…
Finite-rank complex deformations of random band matrices: sigma-model approximation
Mariya Shcherbina, Tatyana Shcherbina
We study the distribution of complex eigenvalues of random Hermitian block band matrices with a complex deformation of a finite rank. Assuming that th…