15 citations · 37 across the 19 of their papers we have counts for
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math.PR2020
The Hermitian Jacobi process: simplified formula for the moments and application to optical fibers MIMO channels
Nizar Demni, Tarek Hamdi, Abdessatar Souissi
Using a change of basis in the algebra of symmetric functions, we compute the moments of the Hermitian Jacobi process. After a careful arrangement of the terms and the evaluation o…
math.SP2020
Support of the Brown measure of the product of a free unitary Brownian motion by a free self-adjoint projection
Nizar Demni, Tarek Hamdi
The first part of this paper is devoted to the Brown measure of the product of the free unitary Brownian motion by an arbitrary free non negative operator. Our approach follows the…
math.OA2020
On star-Moments of the compression of the free unitary Brownian motion by a free projection
Nizar Demni, Tarek Hamdi
In this paper, we derive explicit expressions for the moments and for the mixed moments of the compression of a free unitary Brownian motion by a free projection. While the moments…