7 papers
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 den…
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…
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…
Subgroups of a free group with every growth rate
Michail Louvaris, Daniel T. Wise, Gal Yehuda
For every , we show there exists a subgroup whose growth rate is .