108 citations · 389 across the 75 of their papers we have counts for
91 papers
Dirichlet forms on metric measure spaces as Mosco limits of Korevaar-Schoen energies
Patrica Alonso Ruiz, Fabrice Baudoin
This paper establishes sufficient general conditions for the existence of Mosco limits of Korevaar-Schoen energies, first in the context of Cheeger spaces and then in the con…
Variations of the sub-Riemannian distance on Sasakian manifolds with applications to coupling
Fabrice Baudoin, Erlend Grong, Robert Neel +1
On Sasakian manifolds with their naturally occurring sub-Riemannian structure, we consider parallel and mirror maps along geodesics of a taming Riemannian metric. We show that thes…
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…
Korevaar-Schoen-Sobolev spaces and critical exponents in metric measure spaces
Fabrice Baudoin
We present developments in the theory of Korevaar-Schoen-Sobolev spaces on metric measure spaces. While this theory coincides with those of Cheeger and Shanmugalingam if the space…
Parabolic Anderson model on Heisenberg groups: the Itô setting
Fabrice Baudoin, Cheng Ouyang, Samy Tindel +1
In this note we focus our attention on a stochastic heat equation defined on the Heisenberg group of order . This equation is written as $\partial_t u=\frac{1}{…
Quasi-invariance for infinite-dimensional Kolmogorov diffusions
Fabrice Baudoin, Maria Gordina, Tai Melcher
We prove Cameron-Martin type quasi-invariance results for the heat kernel measure of infinite-dimensional Kolmogorov and related diffusions. We first study quantitative functional…