108 citations · 389 across the 75 of their papers we have counts for
9 papers · 1 filter
The Subelliptic Heat Kernel on the CR sphere
Fabrice Baudoin, Jing Wang
We study the heat kernel of the sub-Laplacian L on the CR sphere S2n+1. An explicit and geometrically meaningful formula for the heat kernel is obtained. As a by-product we recover…
Taylor expansion for the solution of a stochastic differential equation driven by fractional Brownian motions
Fabrice Baudoin, Xuejing Zhang
We study the Taylor expansion for the solution of a differential equation driven by a multidimensional Holder path with exponent β> 1/2. We derive a convergence criterion that ena…
Sub-Riemannian balls in CR Sasakian manifolds
Fabrice Baudoin, Michel Bonnefont
We prove global estimates for the sub-Riemannian distance of CR Sasakian manifolds with non negative horizontal Webster-Tanaka Ricci curvature. In particular, in this setting, larg…
Martingale transforms and their projection operators on manifolds
Rodrigo Bañuelos, Fabrice Baudoin
We prove the boundedness on , , of operators on manifolds which arise by taking conditional expectation of transformations of stochastic integrals. These operators…
Quasi-invariance for heat kernel measures on sub-Riemannian infinite-dimensional Heisenberg groups
Fabrice Baudoin, Maria Gordina, Tai Melcher
We study heat kernel measures on sub-Riemannian infinite-dimensional Heisenberg-like Lie groups. In particular, we show that Cameron-Martin type quasi-invariance results hold in th…
Log-Sobolev inequalities for subelliptic operators satisfying a generalized curvature dimension inequality
Fabrice Baudoin, Michel Bonnefont
Let $\M$ be a smooth connected manifold endowed with a smooth measure and a smooth locally subelliptic diffusion operator which is symmetric with respect to . We assume…
A note on the boundedness of Riesz transform for some subelliptic operators
F. Baudoin, N. Garofalo
Let $\M$ be a smooth connected non-compact manifold endowed with a smooth measure and a smooth locally subelliptic diffusion operator satisfying , and which is symmet…
Gradient Bounds for Solutions of Stochastic Differential Equations Driven by Fractional Brownian Motions
Fabrice Baudoin, Cheng Ouyang
We study some functional inequalities satisfied by the distribution of the solution of a stochastic differential equation driven by fractional Brownian motions. Such functional ine…
Curvature-dimension inequalities and Ricci lower bounds for sub-Riemannian manifolds with transverse symmetries
Fabrice Baudoin, Nicola Garofalo
Let $\M$ be a smooth connected manifold endowed with a smooth measure and a smooth locally subelliptic diffusion operator satisfying , and which is symmetric with res…