29 citations · 104 across the 60 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.PR2022
Stochastic areas, Horizontal Brownian Motions, and Hypoelliptic Heat Kernels
Fabrice Baudoin, Nizar Demni, Jing Wang
The monograph is devoted to the study of stochastic area functionals of Brownian motions and of the associated heat kernels on Lie groups and Riemannian manifolds. It is essentiall…
math.PR2022
Summing free unitary Brownian motions with applications to quantum information
Nizar Demni, Tarek Hamdi
Motivated by quantum information theory, we introduce a dynamical random state built out of the sum of independent unitary Brownian motions. In the large size limit, its…
math.PR2022
Relating moments of self-adjoint polynomials in two orthogonal projections
Nizar Demni, Tarek Hamdi
Given two orthogonal projections in a non commutative tracial probability space, we prove relations between the moments of , of and of and…