Anirban Basak

activity

20102026

most citedBalanced random Toeplitz and Hankel Matrices

15 citations · 35 across the 16 of their papers we have counts for

collaborators

Showing 2017 · math.PRShow all

4 papers · 2 filters

math.PR2017

Regularization of non-normal matrices by Gaussian noise - the banded Toeplitz and twisted Toeplitz cases

Anirban Basak, Elliot Paquette, Ofer Zeitouni

We consider the spectrum of additive, polynomially vanishing random perturbations of deterministic matrices, as follows. Let $M_{N}$ be a deterministic $N \times N$ matrix, and let $G…

math.PR2017

The circular law for sparse non-Hermitian matrices

Anirban Basak, Mark Rudelson

For a class of sparse random matrices of the form $A_{n} = (ξ_{i, j} δ_{i, j})_{i, j = 1}^{n}$ , where ${ξ_{i, j}}$ are i.i.d.~centered sub-Gaussian random variables of unit variance, and $\{…

math.PR2017

Circular law for the sum of random permutation matrices

Anirban Basak, Nicholas Cook, Ofer Zeitouni

Let $P_{n}^{1}, \dots, P_{n}^{d}$ be $n \times n$ permutation matrices drawn independently and uniformly at random, and set $S_{n}^{d} := \sum_{ℓ = 1}^{d} P_{n}^{ℓ}$ . We show that if $\log^{12}n/(\l…

math.PR2017

Diffusion limit for the partner model at the critical value

Anirban Basak, Rick Durrett, Eric Foxall

The partner model is an SIS epidemic in a population with random formation and dissolution of partnerships, and with disease transmission only occuring within partnerships. Foxall,…