2 citations · 3 across the 11 of their papers we have counts for
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Brownian motion on the complex general group and the non-compact Jacobi process
Martin Auer, Nizar Demni, Nicolas Gilliers
In this paper, we introduce and study a new non Hermitian matrix-valued process built from truncations of Brownian motion on complex positive-definite matrices and of its inverse.…
Bigraph independence : a mixture of the five natural independences
Nicolas Gilliers, David Jekel
We introduce a notion of non-commutative joint independence for multiple algebras in a non-commutative probability space. The pairwise relationships between these algebras are enco…
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…
Matricial approximations of higher dimensional master fields
Nicolas Gilliers
We study matricial approximations of master fields we constructed in a previous work. These approximations (in non-commutative distribution) are obtained by extracting blocks of a…