39 citations · 66 across the 9 of their papers we have counts for
4 papers · 1 filter
Quantum groups based on spatial partitions
Guillaume Cébron, Moritz Weber
We define new compact matrix quantum groups whose intertwiner spaces are dual to tensor categories of three-dimensional set partitions -- which we call spatial partitions. This ext…
Fluctuation of matrix entries and application to outliers of elliptic matrices
Florent Benaych-Georges, Guillaume Cébron, Jean Rochet
For any family of random matrices which is invariant, in law, under unitary conjugation, we give general sufficient conditions for central lim…
The generalized master fields
Guillaume Cébron, Antoine Dahlqvist, Franck Gabriel
The master field is the large limit of the Yang-Mills measure on the Euclidean plane. It can be viewed as a non-commutative process indexed by paths on the plane. We construct…
Traffic Distributions and Independence II: Universal Constructions for Traffic Spaces
Guillaume Cébron, Antoine Dahlqvist, Camille Male
We investigate questions related to the notion of traffics introduced by the author C. Male as a noncommutative probability space with numerous additional operations and equipped w…