10 citations · 18 across the 6 of their papers we have counts for
6 papers
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…
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…
On the Correlation Functions of the Characteristic Polynomials of Random Matrices with Independent Entries: Interpolation Between Complex and Real Cases
Ievgenii Afanasiev
The paper is concerned with the correlation functions of the characteristic polynomials of random matrices with independent complex entries. We investigate how the asymptotic behav…
On the Correlation Functions of the Characteristic Polynomials of Non-Hermitian Random Matrices with Independent Entries
Ievgenii Afanasiev
The paper is concerned with the asymptotic behavior of the correlation functions of the characteristic polynomials of non-Hermitian random matrices with independent entries. It is…
On the correlation functions of the characteristic polynomials of the sparse hermitian random matrices
Ievgenii Afanasiev
We consider asymptotics of the correlation functions of characteristic polynomials corresponding to random weighted Erd{\H o}s -- Rényi graphs with Gaussian wei…