274 citations · 309 across the 8 of their papers we have counts for
15 papers
On the empirical spectral distribution for certain models related to sample covariance matrices with different correlations
Alicja Dembczak-Kołodziejczyk, Anna Lytova
Given , we study two classes of large random matrices of the form $$ \mathcal{L}_n =\sum_{α=1}^mξ_α\mathbf{y}_α\mathbf{y}_α^T\quad\text{and}\quad \mathcal{A}_n =…
On delocalization of eigenvectors of random non-Hermitian matrices
Anna Lytova, Konstantin Tikhomirov
We study delocalization of null vectors and eigenvectors of random matrices with i.i.d entries. Let be an random matrix with i.i.d real subgaussian entries of zero…
Circular law for sparse random regular digraphs
Alexander Litvak, Anna Lytova, Konstantin Tikhomirov +2
Fix a constant and let satisfy for every large integer . Denote by the adjacency matrix of a uniform random directed -regular graph…
The rank of random regular digraphs of constant degree
Alexander Litvak, Anna Lytova, Konstantin Tikhomirov +2
Let be a fixed large integer. For any larger than , let be the adjacency matrix of the random directed -regular graph on vertices, with the uniform distribu…
Structure of eigenvectors of random regular digraphs
Alexander Litvak, Anna Lytova, Konstantin Tikhomirov +2
Let and be integers satisfying for some universal constants , and let . Denote by the adjacency matrix of a r…
The smallest singular value of a shifted -regular random square matrix
Alexander Litvak, Anna Lytova, Konstantin Tikhomirov +2
We derive a lower bound on the smallest singular value of a random -regular matrix, that is, the adjacency matrix of a random -regular directed graph. More precisely, let $C_…