108 citations · 389 across the 75 of their papers we have counts for
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Powers Of Generators On Dirichlet Spaces And Applications To Harnack Principles
Fabrice Baudoin, Quanjun Lang, Yannick Sire
We provide a general framework for the realization of powers or functions of suitable operators on Dirichlet spaces. The first contribution is to unify the available results dealin…
On the Cheng-Yau gradient estimate for Carnot groups and sub-Riemannian manifolds
Fabrice Baudoin, Maria Gordina, Phanuel Mariano
In this note we show how results in \cite{BaudoinBonnefont2016, BaudoinGarofalo2013, CoulhonJiangKoskelaSikora2017} yield the Cheng-Yau estimate on two classes of sub-Riemannian ma…
Hypocoercive estimates on foliations and velocity spherical Brownian motion
Fabrice Baudoin, Camille Tardif
By further developing the generalized -calculus for hypoelliptic operators, we prove hypocoercive estimates for a large class of Kolmogorov type operators which are defined on n…
Wasserstein contraction properties for hypoelliptic diffusions
Fabrice Baudoin
Gradient bounds had proved to be a very efficient tool for the control of the rate of convergence to equilibrium for parabolic evolution equations. Among the gradient bounds method…
Reverse Poincare inequalities, Isoperimetry, and Riesz transforms in Carnot groups
Fabrice Baudoin, Michel Bonnefont
We prove an optimal reverse Poincaré inequality for the heat semigroup generated by the sub-Laplacian on a Carnot group of any step. As an application we give new proofs of the iso…
The subelliptic heat kernels of the quaternionic Hopf fibration
Fabrice Baudoin, Jing Wang
The main goal of this work is to study the sub-Laplacian of the unit sphere which is obtained by lifting with respect to the Hopf fibration the Laplacian of the quaternionic projec…
Bakry-Emery meet Villani
Fabrice Baudoin
We revisit Villani's approach to the study of hypocoercive diffusion operators by applying a variant of the Bakry-Émery machinery. The method relies on a generalized Bakry-Émery ty…
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…
Subelliptic Li-Yau estimates on three dimensional model spaces
D. Bakry, F. Baudoin, M. Bonnefont +1
We describe three elementary models in three dimensional subelliptic geometry which correspond to the three models of the Riemannian geometry (spheres, Euclidean spaces and Hyperbo…
The subelliptic heat kernel on SU(2): Representations, Asymptotics and Gradient bounds
Fabrice Baudoin, Michel Bonnefont
The Lie group SU(2) endowed with its canonical subriemannian structure appears as a three-dimensional model of a positively curved subelliptic space. The goal of this work is to st…