3 citations · 6 across the 4 of their papers we have counts for
4 papers
Asymptotic cyclic-conditional freeness of random matrices
Guillaume Cébron, Nicolas Gilliers
Voiculescu's freeness emerges in computing the asymptotic of spectra of polynomials on random matrices with eigenspaces in generic positions: they are randomly rotated…
Freeness of type and conditional freeness for random matrices
Guillaume Cébron, Antoine Dahlqvist, Franck Gabriel
The asymptotic freeness of independent unitarily invariant random matrices holds in expectation up to . An already known consequence is the infinitesimal fre…
De Finetti Theorems for the Unitary Dual Group
Isabelle Baraquin, Guillaume Cébron, Uwe Franz +2
We prove several de Finetti theorems for the unitary dual group, also called the Brown algebra. Firstly, we provide a finite de Finetti theorem characterizing -diagonal elements…
Universality of free random variables: atoms for non-commutative rational functions
Octavio Arizmendi, Guillaume Cébron, Roland Speicher +1
Consider a tuple of normal operators in a tracial operator algebra setting with prescribed sizes of the eigenspaces for each . We address the question what o…