5 papers
Finite free probability and transforms of Jacobi processes
Nizar Demni, Nicolas Gilliers, Tarek Hamdi
In this paper, we study the transforms of Jacobi processes in the frameworks of free and finite free probability theories. We begin by deriving a partial differential equation…
Brownian motion and stochastic areas on complex full flag manifolds
Fabrice Baudoin, Nizar Demni, Teije Kuijper +1
We show that the Brownian motion on the complex full flag manifold can be represented by a matrix-valued diffusion obtained from the unitary Brownian motion. This representation ac…
Spectral distribution of the free Jacobi process with equal rank projections
Nizar Demni, Tarek Hamdi
The free Jacobi process is the radial part of the compression of the free unitary Brownian motion by two free orthogonal projections in a non commutative probability space. In this…
Polyanalytic Hermite polynomials associated with the elliptic Ginibre model
Nizar Demni, Zouhaïr Mouayn
Motivated by the connection between the eigenvalues of the complex Ginibre matrix model and the magnetic Laplacian in the complex plane, we derive analogues of the complex Hermite…
Orthogonal Random Features: Explicit Forms and Sharp Inequalities
Nizar Demni, Hachem Kadri
Random features have been introduced to scale up kernel methods via randomization techniques. In particular, random Fourier features and orthogonal random features were used to app…