5 papers · 1 filter
A note on outlier eigenvectors for sparse non-Hermitian perturbations
Miltiadis Galanis, Michail Louvaris
We consider a sparse i.i.d.\ non-Hermitian random matrix model (with sparsity parameter ) and a deterministic finite-rank perturbation . Assuming biorthogonality fo…
Extreme eigenvalues and eigenvectors for finite rank additive deformations of non-hermitian sparse random matrices
Walid Hachem, Michail Louvaris, Jamal Najim
Consider a sparse non-Hermitian random matrix defined as the Hadamard product between a random matrix with centered independent and identically distributed entrie…
On the spectral radius and the characteristic polynomial of a random matrix with independent elements and a variance profile
Walid Hachem, Michail Louvaris
In this paper, it is shown that with large probability, the spectral radius of a large non-Hermitian random matrix with a general variance profile does not exceed the square root o…
The limit of the operator norm for random matrices with a variance profile
Dimitris Cheliotis, Michail Louvaris
In this work we study symmetric random matrices with variance profile satisfying certain conditions. We establish the convergence of the operator norm of these matrices to the larg…
Universality of the least singular value and singular vector delocalisation for Lévy non-symmetric random matrices
Michail Louvaris
In this paper we consider matrices with i.i.d. entries all following an stable law divided by . We prove that the least singular value of …