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Faculty members

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Tarek Hamdi

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Personal data

  • 14-313
  • T.Hamdi@qu.edu.sa
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    Scientific qualifications

    • Habilitation à Diriger des Recherches en Mathématiques (Université Bourgogne Franche-Comté)
    • PhD in Mathematics (Université Bourgogne Franche-Comté and University of Tunis El Manar)

    Research interests

    • Free probability
    • Combinatorics
    • Operator theory
    • Stochastic calculus
    • Random matrices

    Published research

    • Spectral distribution of the free Jacobi process (2012-01-01)
    • Support of the Brown measure of the product of a free unitary Brownian motion by a free self-adjoint projection (2022-01-01)
    • Open Quantum Random Walks and Quantum Markov Chains on Trees I: Phase Transitions (2022-01-01)
    • Spectral distribution of the free Jacobi process, revisited (2018-01-01)
    • Quantum Markov chains on comb graphs: Ising model (2021-01-01)
    • Liberation, free mutual information, and orbital-free entropy (2018-01-01)
    • Inverse of the flow and moments of the free Jacobi process associated with one projection (2018-01-01)
    • Open Quantum Random Walks and Quantum Markov Chains on Trees II: The Recurrence: F. Mukhamedov et al. (2023-01-01)
    • Monotone and Boolean Unitary Brownian Motions (2015-01-01)
    • On the structure of quantum Markov chains on Cayley trees associated with open quantum random walks (2023-01-01)
    • The Hermitian Jacobi process: A simplified formula for moments and its application to optical fiber MIMO channels (2020-01-01)
    • Free mutual information for two projections (2018-01-01)
    • The quantum mechanics canonically associated with free probability (2021-01-01)
    • Moments of the free Jacobi process: A matrix approach (2025-01-01)
    • Relating Moments of Self-Adjoint Polynomials in Two Orthogonal Projections (2023-01-01)
    • Stochastic analysis for obtuse random walks (2015-01-01)
    • Summing free unitary Brownian motions with applications to quantum information (2023-01-01)
    • The quantum mechanics canonically associated to free probability II: The normal and inverse normal order problem (2022-01-01)
    • The quantum mechanics canonically associated to free probability I: Free momentum and associated kinetic energy (2022-01-01)
    • Spectral distribution of large-size Brownian motions on the complex linear group (2013-01-01)
    • SPECTRAL PROPERTIES OF THE FREE JACOBI PROCESS ASSOCIATED WITH EQUAL RANK PROJECTIONS (2026-01-01)
    • Finite free probability and transforms of Jacobi processes (2025-01-01)
    • Quantum Mechanics of Arc-Sine and Semi-Circle Distributions: A Unified Approach: L. Accardi et al. (2025-01-01)
    • Spectral distribution of the free Jacobi process with equal rank projections (2025-01-01)
    • Correction: Relating moments of self-adjoint polynomials in two orthogonal projections (2024-01-01)
    • On Star-Moments of the Compression of Free Unitary Brownian Motion by a Free Projection (2022-01-01)
    • Schur-Weyl duality and the product of randomly-rotated symmetries by a unitary Brownian motion (2021-01-01)
    • Commutative and Noncommutative Stochastic Calculus: Theory and Applications (2013-01-01)
    • Spectral measurement of the free Jacobi process associated with a single projection (2013-01-01)
    • The quantum mechanics canonically associated to free probability Part II: The normal and inverse normal order problem (2026-01-01)
    • ANALYSIS & PDE (2026-01-01)

    Teaching materials

    • Real analysis
    • Linear Algebra
    • Probability

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