39 citations · 104 across the 16 of their papers we have counts for
12 papers · 1 filter
Large deviations for macroscopic observables of heavy-tailed matrices
Charles Bordenave, Alice Guionnet, Camille Male
We consider a finite collection of independent Hermitian heavy-tailed random matrices of growing dimension. Our model includes the Lévy matrices proposed by Bouchaud and Cizeau, as…
A traffic approach for profiled Pennington-Worah matrices
Issa Dabo, Camille Male
We study macroscopic observables of large random matrices introduced by Pennington and Worah, defined by applying entry wise a non linear function on a product of matrices with ind…
The -circular limit of random tensor flattenings
Stéphane Dartois, Camille Male, Ion Nechita
The tensor flattenings appear naturally in quantum information when one produces a density matrix by partially tracing the degrees of freedom of a pure quantum state. In this paper…
Freeness over the diagonal and global fluctuations of complex Wigner matrices
Camille Male
We characterize the limiting second order distributions of certain independent complex Wigner and deterministic matrices using Voiculescu's notions of freeness over the diagonal. I…
Asymptotic Freeness of Unitary Matrices in Tensor Product Spaces for Invariant States
Benoît Collins, Pierre Yves Gaudreau Lamarre, Camille Male
In this paper, we pursue our study of asymptotic properties of families of random matrices that have a tensor structure. In previous work, the first- and second-named authors provi…
Large permutation invariant random matrices are asymptotically free over the diagonal
Benson Au, Guillaume Cébron, Antoine Dahlqvist +2
We prove that independent families of permutation invariant random matrices are asymptotically free over the diagonal, both in probability and in expectation, under a uniform bound…