7 citations · 7 across the 2 of their papers we have counts for
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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…
Schur-Weyl duality and the Product of randomly-rotated symmetries by a unitary Brownian motion
Nizar Demni, Tarek Hamdi
In this paper, we introduce and study a unitary matrix-valued process which is closely related to the Hermitian matrix-Jacobi process. It is precisely defined as the product of a d…
Spectral distribution of the free Jacobi process, revisited
Tarek Hamdi
We obtain a description for the spectral distribution of the free Jacobi process for any initial pair of projections. This result relies on a study of the unitary operator $RU_tSU_…
Free mutual information for two projections
Tarek Hamdi
The present paper provides a proof of for two projections without any extra assumptions. An an…