A. Lytova

activity

20072021

most citedCentral limit theorem for linear eigenvalue statistics of random matrices with independent entries

274 citations · 309 across the 8 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.PR2018

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 $A$ be an $n \times n$ random matrix with i.i.d real subgaussian entries of zero…

math.PR2018

Circular law for sparse random regular digraphs

Alexander Litvak, Anna Lytova, Konstantin Tikhomirov +2

Fix a constant $C \geq 1$ and let $d = d (n)$ satisfy $d \leq ln^{C} n$ for every large integer $n$ . Denote by $A_{n}$ the adjacency matrix of a uniform random directed $d$ -regular graph…

math.PR2018

The rank of random regular digraphs of constant degree

Alexander Litvak, Anna Lytova, Konstantin Tikhomirov +2

Let $d$ be a fixed large integer. For any $n$ larger than $d$ , let $A_{n}$ be the adjacency matrix of the random directed $d$ -regular graph on $n$ vertices, with the uniform distribu…

math.PR2018

Structure of eigenvectors of random regular digraphs

Alexander Litvak, Anna Lytova, Konstantin Tikhomirov +2

Let $d$ and $n$ be integers satisfying $C \leq d \leq exp (c ln n)$ for some universal constants $c, C > 0$ , and let $z \in C$ . Denote by $M$ the adjacency matrix of a r…