71 citations · 258 across the 47 of their papers we have counts for
4 papers · 1 filter
Perturbations of diagonal matrices by band random matrices
Florent Benaych-Georges, Nathanaël Enriquez
We exhibit an explicit formula for the spectral density of a (large) random matrix which is a diagonal matrix whose spectral density converges, perturbated by the addition of a sym…
Random right eigenvalues of Gaussian quaternionic matrices
Florent Benaych-Georges, Francois Chapon
We consider a random matrix whose entries are independent Gaussian variables taking values in the field of quaternions with variance . Using logarithmic potential theory, we p…
Eigenvectors of Wigner matrices: universality of global fluctuations
Florent Benaych-Georges
Let be the eigenvectors matrix of a Wigner matrix. We prove that under some moments conditions, the bivariate random process indexed by with value at $(s,…
The singular values and vectors of low rank perturbations of large rectangular random matrices
Florent Benaych-Georges, Raj Rao Nadakuditi
In this paper, we consider the singular values and singular vectors of finite, low rank perturbations of large rectangular random matrices. Specifically, we prove almost sure conve…