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- Tunis El Manar UniversityTN9 papers
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7 papers · 1 filter
Summing free unitary Brownian motions with applications to quantum information
Nizar Demni, Tarek Hamdi
Motivated by quantum information theory, we introduce a dynamical random state built out of the sum of independent unitary Brownian motions. In the large size limit, its…
Some results on r-truncated degenerate Poisson Random Variables
Taekyun Kim, Dae san Kim, Si-Hyeon Lee +2
The zero-truncated Poisson distributions are certain discrete probability distributions whose supports are the set of positive integers, which are also known as the conditional Poi…
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…
Liberation, free mutual information and orbital free entropy
Tarek Hamdi
We present here some connections between the liberation process for projections and its counterpart for symmetries when the…
Inverse of the flow and moments of the free Jacobi process associated with a single projection
Nizar Demni, Tarek Hamdi
This paper is a companion to a series of papers devoted to the study of the spectral distribution of the free Jacobi process associated with a single projection. Actually, we notic…
Maximum principle for optimal control of stochastic partial differential equations
AbdulRahman Al-Hussein
We shall consider a stochastic maximum principle of optimal control for a control problem associated with a stochastic partial differential equations of the following type: d x(t)…