Baudoin, Fabrice, Bonnefont, Michel, Garofalo, Nicola
We prove that on rank two sub-Riemannian manifolds with non negative Ricci curvature in the sense of Baudoin-Garofalo, the following properties hold: 1) The volume doubling property; 2) The Poincare...
Inégalités fonctionnelles pour des noyaux de la chaleur sous-elliptiques (2009)
Dans cette thèse, j'ai étudié le noyau et le semi-groupe de la chaleur ainsi que les inégalités fonctionnelles associées sur trois espaces modèles de la géométrie sous-elliptique. Cette...
Inégalités fonctionnelles pour des noyaux de la chaleur sous-elliptiques (2009)
Dans cette thèse, j'ai étudié le noyau et le semi-groupe de la chaleur ainsi que les inégalités fonctionnelles associées sur trois espaces modèles de la géométrie sous-elliptique. Cette...
Inégalités fonctionnelles pour des noyaux de la chaleur sous-elliptiques (2009)
Dans cette thèse, j'ai étudié le noyau et le semi-groupe de la chaleur ainsi que les inégalités fonctionnelles associées sur trois espaces modèles de la géométrie sous-elliptique. Cette...
In this paper, we study a subelliptic heat kernel on the Lie group SL(2,R). The subelliptic structure on SL(2,R) comes from the fibration $SO(2) -> SL(2,R) -> H^2$. First, we derive an integral...
Inégalités fonctionnelles pour des noyaux de la chaleur sous-elliptiques (2009)
Dans cette thèse, j'ai étudié le noyau et le semi-groupe de la chaleur ainsi que les inégalités fonctionnelles associées sur trois espaces modèles de la géométrie sous-elliptique. Cette...
Inégalités fonctionnelles pour des noyaux de la chaleur sous-elliptiques (2009)
Dans cette thèse, j'ai étudié le noyau et le semi-groupe de la chaleur ainsi que les inégalités fonctionnelles associées sur trois espaces modèles de la géométrie sous-elliptique. Cette...
Inégalités fonctionnelles pour des noyaux de la chaleur sous-elliptiques (2009)
Dans cette thèse, j'ai étudié le noyau et le semi-groupe de la chaleur ainsi que les inégalités fonctionnelles associées sur trois espaces modèles de la géométrie sous-elliptique. Cette...
On gradient bounds for the heat kernel on the Heisenberg group (2008)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Chafai, Djalil
It is known that the couple formed by the two dimensional Brownian motion and its Lévy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The...
On gradient bounds for the heat kernel on the Heisenberg group (2008)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Chafai, Djalil
It is known that the couple formed by the two dimensional Brownian motion and its Lévy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The...
On gradient bounds for the heat kernel on the Heisenberg group (2008)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Chafai, Djalil
It is known that the couple formed by the two dimensional Brownian motion and its L\'evy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The...
On gradient bounds for the heat kernel on the Heisenberg group (2008)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Chafai, Djalil
It is known that the couple formed by the two dimensional Brownian motion and its L\'evy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The...
On gradient bounds for the heat kernel on the Heisenberg group (2008)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Chafai, Djalil
It is known that the couple formed by the two dimensional Brownian motion and its L\'evy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The...
On gradient bounds for the heat kernel on the Heisenberg group (2008)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Chafai, Djalil
It is known that the couple formed by the two dimensional Brownian motion and its L\'evy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The...
The subelliptic heat kernel on SU(2): Representations, Asymptotics and Gradient bounds (2008)
Baudoin, Fabrice, Bonnefont, Michel
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 study the subelliptic...
On gradient bounds for the heat kernel on the Heisenberg group (2008)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Chafai, Djalil
It is known that the couple formed by the two dimensional Brownian motion and its L\'evy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The...
On gradient bounds for the heat kernel on the Heisenberg group (2008)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Chafai, Djalil
It is known that the couple formed by the two dimensional Brownian motion and its L\'evy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The...
Subelliptic Li-Yau estimates on three dimensional model spaces (2008)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Qian, Bin
We describe three elementary models in three dimensional subelliptic geometry which corresponds to the three models of the Riemannian geometry (spheres, Euclidean spaces and Hyperbolic spaces) which...
Subelliptic Li-Yau estimates on three dimensional model spaces (2008)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Qian, Bin
We describe three elementary models in three dimensional subelliptic geometry which corresponds to the three models of the Riemannian geometry (spheres, Euclidean spaces and Hyperbolic spaces) which...
Subelliptic Li-Yau estimates on three dimensional model spaces (2008)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Qian, Bin
We describe three elementary models in three dimensional subelliptic geometry which corresponds to the three models of the Riemannian geometry (spheres, Euclidean spaces and Hyperbolic spaces) which...
On gradient bounds for the heat kernel on the Heisenberg group (2008)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Chafai, Djalil
It is known that the couple formed by the two dimensional Brownian motion and its Lévy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The...
Subelliptic Li-Yau estimates on three dimensional model spaces (2008)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Qian, Bin
We describe three elementary models in three dimensional subelliptic geometry which corresponds to the three models of the Riemannian geometry (spheres, Euclidean spaces and Hyperbolic spaces) which...
Subelliptic Li-Yau estimates on three dimensional model spaces (2008)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Qian, Bin
We describe three elementary models in three dimensional subelliptic geometry which corresponds to the three models of the Riemannian geometry (spheres, Euclidean spaces and Hyperbolic spaces) which...
On gradient bounds for the heat kernel on the Heisenberg group (2007)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Chafai, Djalil
It is known that the couple formed by the two dimensional Brownian motion and its L\'evy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The...
On gradient bounds for the heat kernel on the Heisenberg group (2007)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Chafai, Djalil
It is known that the couple formed by the two dimensional Brownian motion and its L\'evy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The...
A discrete version and stability of Brunn Minkowski inequality (2007)
In the first part of the paper, we define an approximated Brunn-Minkowski inequality which generalizes the classical one for length spaces. Our new definition based only on distance properties allows...
On gradient bounds for the heat kernel on the Heisenberg group (2007)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Chafai, Djalil
It is known that the couple formed by the two dimensional Brownian motion and its L\'evy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The...
On gradient bounds for the heat kernel on the Heisenberg group (2007)
Bakry, Dominique, Baudoin, Fabrice, Bonnefont, Michel, Chafai, Djalil
It is known that the couple formed by the two dimensional Brownian motion and its L\'evy area leads to the heat kernel on the Heisenberg group, which is one of the simplest sub-Riemannian space. The...