7 citations · 7 across the 2 of their papers we have counts for
6 papers
Quantum Markov Chains on the Comb graphs: Ising model
Farrukh Mukhamedov, Abdessatar Souissi, Tarek Hamdi
In the present paper, we construct quantum Markov chains (QMC) over the Comb graphs. As an application of this construction, it is proved the existence of the disordered phase for…
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…
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…
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…