32 citations · 120 across the 22 of their papers we have counts for
4 papers · 1 filter
On the Limit of Superposition States
Luigi Accardi, Abdessatar Souissi, El Gheteb Soueidy
In this paper, we study the structure of a family of superposition states on tensor algebras. The correlation functions of the considered states are described through a new kind of…
Block Markov Chains on Trees
Abdessatar Souissi
We introduce block Markov chains (BMCs) indexed by an infinite rooted tree. It turns out that BMCs define a new class of tree-indexed Markovian processes. We clarify the structure…
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…
A Forward Quantum Markov Field on Graphs
Abdessatar Souissi
In this paper, we propose a class of quantum Markov fields QMF on a graphs . The Markov structure of the considered QMF is investigated in the finer structure of a quasi-…