29 citations · 104 across the 60 of their papers we have counts for
4 papers · 2 filters
Quaternionic Brownian windings
Fabrice Baudoin, Nizar Demni, Jing Wang
We define and study the 3-dimensional windings along Brownian paths in the quaternionic Euclidean, projective and hyperbolic spaces. In particular, the asymptotic laws of these win…
Schur-Weyl duality and the Product of randomly-rotated symmetries by a unitary Brownian motion
Nizar Demni, Tarek Hamdi
In this paper, we introduce and study a unitary matrix-valued process which is closely related to the Hermitian matrix-Jacobi process. It is precisely defined as the product of a d…
Generalized Stochastic areas and windings arising from Anti-de Sitter and Hopf fibrations
Nizar Demni
In the first part of this paper, we derive explicit expressions of the semi-group densities of generalized stochastic areas arising from the Anti-de Sitter and the Hopf fibrations.…
Quaternionic stochastic areas
Fabrice Baudoin, Nizar Demni, Jing Wang
We study quaternionic stochastic areas processes associated with Brownian motions on the quaternionic rank-one symmetric spaces and . The characteris…