3 papers
math-ph2025
Asymptotic behavior of eigenvalues of large rank perturbations of large random matrices
Ievgenii Afanasiev, Leonid Berlyand, Mariia Kiyashko
The paper is concerned with deformed Wigner random matrices. These matrices are closely related to Deep Neural Networks (DNNs): weight matrices of trained DNNs could be represented…
math-ph2024
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…
math-ph2023
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…