Add to ORKGWe study Poincaré inequalities and long-time behavior for diffusion processes on R^n under a variable curvature lower bound, in the sense of Bakry-Emery. We derive various estimates on the rate of convergence to equilibrium in L^1 optimal transport distance, as well as bounds on the constant in the Poincaré inequality in several situations of interest, including some where curvature may be negative. In particular, we prove a self-improvement of the Bakry-Emery estimate for Poincaré inequalities when curvature is positive but not constant
The celebrated Lott-Sturm-Villani theory of metric measure spaces furnishes synthetic notions of a R...
AbstractThe aim of this paper is to analyze contractivity properties of Wasserstein-type metrics for...
AbstractWe give a new proof of the fact that Gaussian concentration implies the logarithmic Sobolev ...
We study Poincaré inequalities and long-time behavior for diffusion processes on R^n under a variabl...
We consider elliptic diffusion processes on $\mathbb R^d$. Assuming that the drift contracts distanc...
Lower Ricci curvature bounds play a crucial role in several deep geometric and functional inequaliti...
This work is devoted to the Lipschitz contraction and the long time behavior of certain Markov proce...
Lower Ricci curvature bounds play a crucial role in several deep geometric and functional inequaliti...
The goal of this paper is to give a non-local sufficient condition for generalized Poincaré inequali...
International audienceThe curvature-dimension condition is a generalization of the Bochner inequalit...
It is now well known that curvature conditions {\it á la} Bakry-Émery are equivalent to contraction ...
We elaborate the notion of a Ricci curvature lower bound for parametrized statistical models. Follow...
International audienceWe study various transport-information inequalities under three different noti...
We investigate the validity, as well as the failure, of Sobolev-type inequalities on Cartan-Hadamard...
This paper aims to provide some tools coming from functional inequalities to deal with quasi-station...
The celebrated Lott-Sturm-Villani theory of metric measure spaces furnishes synthetic notions of a R...
AbstractThe aim of this paper is to analyze contractivity properties of Wasserstein-type metrics for...
AbstractWe give a new proof of the fact that Gaussian concentration implies the logarithmic Sobolev ...
We study Poincaré inequalities and long-time behavior for diffusion processes on R^n under a variabl...
We consider elliptic diffusion processes on $\mathbb R^d$. Assuming that the drift contracts distanc...
Lower Ricci curvature bounds play a crucial role in several deep geometric and functional inequaliti...
This work is devoted to the Lipschitz contraction and the long time behavior of certain Markov proce...
Lower Ricci curvature bounds play a crucial role in several deep geometric and functional inequaliti...
The goal of this paper is to give a non-local sufficient condition for generalized Poincaré inequali...
International audienceThe curvature-dimension condition is a generalization of the Bochner inequalit...
It is now well known that curvature conditions {\it á la} Bakry-Émery are equivalent to contraction ...
We elaborate the notion of a Ricci curvature lower bound for parametrized statistical models. Follow...
International audienceWe study various transport-information inequalities under three different noti...
We investigate the validity, as well as the failure, of Sobolev-type inequalities on Cartan-Hadamard...
This paper aims to provide some tools coming from functional inequalities to deal with quasi-station...
The celebrated Lott-Sturm-Villani theory of metric measure spaces furnishes synthetic notions of a R...
AbstractThe aim of this paper is to analyze contractivity properties of Wasserstein-type metrics for...
AbstractWe give a new proof of the fact that Gaussian concentration implies the logarithmic Sobolev ...