
Nizar • DEMNI
Maître de Conférences (MCF H) • Affiliation : Aix-Marseille Université (AMU)
Site : Saint-Charles • Bureau : C1-03 • Etage du bureau : RdJ (bât. 7) •
Co-responsable du groupe AGT (à compter du 01/09/2020).
Groupe(s) scientifiques(s) de l'utilisateur :
Thématiques scientifiques :
- Probabilités
- Géométrie différentielle (incluant groupes de Lie, géométrie riemannienne, symplectique, etc.)
- Analyse et géométrie complexe
Publications HAL
2022/02 Bulletin des Sciences Mathématiques - Hartman-Watson distribution and hyperbolic-like heat kernels2022/01 Journal of Functional Analysis - Support of the Brown measure of the product of a free unitary Brownian motion by a free self-adjoint projection
2022/01 Journal of Operator Theory - On star-Moments of the compression of the free unitary Brownian motion by a free projection
2021/12 Journal of Theoretical Probability - Quaternionic Brownian windings
2021/09 Journal of Mathematical Physics, Analysis, Geometry - Berezin Transforms Attached to Landau Levels on the Complex Projective Space P^n(ℂ)
2021/03 - Explicit expressions of the Hua-Pickrell semi-group
2021/03 Infinite Dimensional Analysis, Quantum Probability and Related Topics - Schur–Weyl duality and the product of randomly-rotated symmetries by a unitary Brownian motion
2021/01 Journal of Physics A: Mathematical and Theoretical - Polyanalytic reproducing Kernels on the quantized annulus
2021/01 Stochastic Processes and their Applications - Quaternionic stochastic areas
2020/03 Indagationes Mathematicae - Densities of Generalized Stochastic areas and windings arising from Anti-de Sitter and Hopf fibrations
2020/02 Potential Analysis - The Horizontal Heat Kernel on the Quaternionic Anti-De Sitter Spaces and Related Twistor Spaces
2020/01 Functional Analysis and Its Applications - The Hermitian Jacobi process: simplified formula for the moments and application to optical fibers MIMO channels
2020/01 IEEE Access - Closed-Form Expressions of Ergodic Capacity and MMSE Achievable Sum Rate for MIMO Jacobi and Rayleigh Fading Channels
2019/11 - Schur-Weyl duality and the Product of randomly-rotated symmetries by a unitary Brownian motion
2019/11 - The horizontal heat kernel on the quaternionic anti de-Sitter spaces and related twistor spaces
2019/01 Journal of Fourier Analysis and Applications - Markov semi-groups associated with the complex unimodular group $Sl(2,\mathbb{C})$
2019/01 Journal of the Mathematical Society of Japan - The Hyperbolic-type Point Process
2018/10 Archiv der Mathematik - Integral representation of the sub-elliptic heat kernel on the complex anti-de Sitter fibration
2018/10 Archiv der Mathematik - Integral representation of the sub-elliptic heat kernel on the complex anti-de Sitter fibration
2018/09 Journal of Theoretical Probability - Moments of the Hermitian Matrix Jacobi process
2018/01 Random Matrices: Theory and Applications - Inverse of the flow and moments of the free Jacobi process associated with a single projection
2018/01 - Integral representation of the subelliptic heat kernel on the complex anti-de Sitter fibration
2018/01 Proceedings of the American Mathematical Society - On a Neumann-type series for modified Bessel functions of the first kind
2017/01 Moscow Mathematical Journal - Laplace-type integral representations of the generalized Bessel function and of the Dunkl kernel of type $B_2$
2017/01 Markov Processes And Related Fields - Reciprocal of the First hitting time of the boundary of dihedral wedges by a radial Dunkl process
2017/01 Journal of Operator Theory - Lagrange inversion formula, Laguerre polynomials and the free unitary Brownian motion
2017/01 ALEA : Latin American Journal of Probability and Mathematical Statistics - First hitting time of the boundary of a wedge of angle $\pi/4$ by a radial Dunkl process
2016/01 Journal of Mathematical Physics - Analysis of generalized negative binomial distributions attached to hyperbolic Landau levels
2016/01 Symmetry, Integrability and Geometry : Methods and Applications - Generalized Stieltjes Transforms of Compactly-Supported Probability Distributions: Further Examples
2016/01 Complex Analysis and Operator Theory - Free Jacobi process associated with one projection: local inverse of the flow
2016/01 - Berezin transforms attached to Landau levels on the complex projective space CPn
2015/12 Infinite Dimensional Analysis, Quantum Probability and Related Topics - Analysis of generalized Poisson distributions associated with higher Landau levels
2015/09 - In Memoriam Marc Yor - Séminaire de Probabilités XLVII
2015/01 Bernoulli - Probabilistic proof of product formulas for Bessel functions
2015/01 Journal of Mathematical Analysis and Applications - Dunkl kernel associated with dihedral group
2015/01 Advances in Applied Mathematics - Star-cumulants of free unitary Brownian motion
2015/01 - Large deviations for clocks of self-similar processes
2015/01 - New Expressions for Ergodic Capacities of Optical Fibers and Wireless MIMO Channels
2014/03 - A stationary process associated with the Dirichlet distribution arising from the complex projective space
2014/01 Annales Mathématiques Blaise Pascal - Distributions of truncations of the heat kernel on the complex projective space
2014/01 Colloquium Mathematicum - Spectral distribution of the free Jacobi process associated with one projection
2013/07 - Spectral distribution of large-size Brownian motions on the complex linear group
2013/02 - General position of a projection and its image under a free unitary Brownian motion
2012/01 Rendiconti del Seminario Matematico della Università di Padova - Brownian motion, reflection groups and Tanaka formula
2012/01 - Spectral distribution of the free unitary Brownian motion: another approach
2012/01 Indiana University Mathematics Journal - Spectral distribution of the free Jacobi process
2012/01 Journal of Lie Theory - Generalized Bessel Function Associated with Dihedral Groups
2011/10 - Analysis of Photon-Counting Probability Distributions Attached to Euclidean Landau Levels
2011/01 Electronic Communications in Probability - Kanter random variable and positive free stable distributions
2010/09 - Radon Transform on spheres and generalized Bessel function associated with dihedral groups
2010/09 - On classical and free stable laws
2010/09 - Radon transform on spheres and generalized Bessel function associated with dihedral groups
2009/01 Stochastic Processes and their Applications - Large Deviations for Statistics of the Jacobi Process
2007/11 - Processus stochastiques matriciels, systèmes de racines et probabilités non commutatives
2007/07 - Radial Dunkl Processes : Existence and uniqueness, Hitting time, Beta Processes and Random Matrices
2007/07 - Free Martingale polynomials for stationary Jacobi processes
2006/11 - Large Deviations for Statistics of Jacobi Process
2006/11 - Laguerre Process and Generalised Hartman-Watson Law
2006/01 - Free Jacobi Process