Publications HAL

2022/02 Bulletin des Sciences Mathématiques – Hartman-Watson distribution and hyperbolic-like heat kernels

2022/01 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 Ramanujan J. – Generalized Bessel functions of dihedral-type: expression as a series of confluent Horn functions and Laplace-type integral representation

2021/01 Stochastic Processes and their Applications – Quaternionic stochastic areas

2020/03 Indagationes Mathematicae (New series) – 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 – Integral representation of the subelliptic heat kernel on the complex anti-de Sitter fibration

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 Proceedings of the American Mathematical Society – On a Neumann-type series for modified Bessel functions of the first kind

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 Moscow Mathematical Journal – Laplace-type integral representations of the generalized Bessel function and of the Dunkl kernel of type $B_2$

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 – Berezin transforms attached to Landau levels on the complex projective space CPn

2016/01 Complex Analysis and Operator Theory – Free Jacobi process associated with one projection: local inverse of the flow

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 Journal of Mathematical Analysis and Applications – Dunkl kernel associated with dihedral group

2015/01 Bernoulli – Probabilistic proof of product formulas for Bessel functions

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 Colloquium Mathematicum – Spectral distribution of the free Jacobi process associated with one projection

2014/01 Annales Mathématiques Blaise Pascal – Distributions of truncations of the heat kernel on the complex projective space

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 Journal of Lie Theory – Generalized Bessel Function Associated with Dihedral Groups

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 Rendiconti del Seminario Matematico della Università di Padova – Brownian motion, reflection groups and Tanaka formula

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