Michail Louvaris

activity

20222026

collaborators

8 papers

math.GR2026

On the growth spectrum of hyperbolic groups

Rémi Coulon, Michail Louvaris, Daniel T. Wise +1

We study the growth spectrum of groups acting on hyperbolic spaces, i.e.\ the set of exponential growth rates achieved by subgroups. For a finitely generated free group or a surfac…

math.PR2026

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 $X_{n}$ (with sparsity parameter $K_{n}$ ) and a deterministic finite-rank perturbation $E_{n}$ . Assuming biorthogonality fo…

math.PR2026

Extreme eigenvalues and eigenvectors for finite rank additive deformations of non-hermitian sparse random matrices

Walid Hachem, Michail Louvaris, Jamal Najim

Consider a $n \times n$ sparse non-Hermitian random matrix $X_{n}$ defined as the Hadamard product between a random matrix with centered independent and identically distributed entrie…

math.GR2025

Subgroups of a free group with every growth rate

Michail Louvaris, Daniel T. Wise, Gal Yehuda

For every $α \in [1, 2 r - 1]$ , we show there exists a subgroup $H < F_{r}$ whose growth rate is $α$ .

math.PR2025

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…

math.PR2024

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…

math.GR2024

On the spectral radius of the non-backtracking matrix of the configuration model

Michail Louvaris, Daniel T. Wise, Gal Yehuda

We prove a concentration result for the leading eigenvalue of the non--backtracking matrix of the configuration model under the assumption of uniformly bounded degrees. Let $P$ den…

math.PR2022

Universality of the least singular value and singular vector delocalisation for Lévy non-symmetric random matrices

Michail Louvaris

In this paper we consider $N \times N$ matrices $D_{N}$ with i.i.d. entries all following an $a -$ stable law divided by $N^{1/ a}$ . We prove that the least singular value of $D_{N}$ …