71 citations · 258 across the 47 of their papers we have counts for
3 papers · 2 filters
Largest eigenvalues of sparse inhomogeneous Erdős-Rényi graphs
Florent Benaych-Georges, Charles Bordenave, Antti Knowles
We consider inhomogeneous Erdős-Rényi graphs. We suppose that the maximal mean degree satisfies . We characterize the asymptotic behavior of the la…
Spectral radii of sparse random matrices
Florent Benaych-Georges, Charles Bordenave, Antti Knowles
We establish bounds on the spectral radii for a large class of sparse random matrices, which includes the adjacency matrices of inhomogeneous Erdős-Rényi graphs. Our error bounds a…
Empirical spectral distribution of a matrix under perturbation
Florent Benaych-Georges, Nathanaël Enriquez, Alkéos Michaïl
We provide a perturbative expansion for the empirical spectral distribution of a Hermitian matrix with large size perturbed by a random matrix with small operator norm whose entrie…