Add to ORKGThe weak Poincare ́ inequality is established on the finite time-interval Brownian path space over a class of Riemannian manifolds with unbounded Ricci curvatures. Compatible sufficient and necessary curvature conditions are also presented for the inequality to hold on infinite time-interval path spaces. Consequently, the conver-gence rates of the corresponding Ornstein-Uhlenbech semigroups are described
Abstract. We prove that for symmetric Markov processes of diffusion type admitting a “carre ́ du cha...
Let $(\mathcal{N},\tau)$ be a noncommutative $W^*$ probability space, where $\mathcal{N}$ is a finit...
Let be a one-parameter family of positive integral operators on a locally compact space . For a poss...
We consider the path space of a manifold with a measure induced by a stochastic flow with an infinit...
Abstract: Recently A. Naber obtained the characterization of the bound of the Ricci curvature by ana...
The aim of the paper is to study the pinned Wiener measure on the loop space over a simply connected...
We show that the Laplacian on the loop space over a class of Riemannian manifolds has a spectral gap...
Röckner M, Wang F-Y. Weak Poincaré inequalities and L-2-convergence rates of Markov semigroups. Jour...
AbstractIn order to describe L2-convergence rates slower than exponential, the weak Poincaré inequal...
International audienceIn this paper, we will give some remarks on links between the spectral gap of ...
AbstractWe prove Poincaré inequalities w.r.t. the distributions of Brownian bridges on sets of loops...
International audienceWe study various transport-information inequalities under three different noti...
We construct Otto-Villani’s coupling for general reversible diffusion processes on a Riemannian mani...
International audienceWe study functional inequalities for Markov chains on discrete spaces with ent...
We show how the Clark-Ocone-Haussmann formula for Brownian motion on a compact Rie-mannian manifold ...
Abstract. We prove that for symmetric Markov processes of diffusion type admitting a “carre ́ du cha...
Let $(\mathcal{N},\tau)$ be a noncommutative $W^*$ probability space, where $\mathcal{N}$ is a finit...
Let be a one-parameter family of positive integral operators on a locally compact space . For a poss...
We consider the path space of a manifold with a measure induced by a stochastic flow with an infinit...
Abstract: Recently A. Naber obtained the characterization of the bound of the Ricci curvature by ana...
The aim of the paper is to study the pinned Wiener measure on the loop space over a simply connected...
We show that the Laplacian on the loop space over a class of Riemannian manifolds has a spectral gap...
Röckner M, Wang F-Y. Weak Poincaré inequalities and L-2-convergence rates of Markov semigroups. Jour...
AbstractIn order to describe L2-convergence rates slower than exponential, the weak Poincaré inequal...
International audienceIn this paper, we will give some remarks on links between the spectral gap of ...
AbstractWe prove Poincaré inequalities w.r.t. the distributions of Brownian bridges on sets of loops...
International audienceWe study various transport-information inequalities under three different noti...
We construct Otto-Villani’s coupling for general reversible diffusion processes on a Riemannian mani...
International audienceWe study functional inequalities for Markov chains on discrete spaces with ent...
We show how the Clark-Ocone-Haussmann formula for Brownian motion on a compact Rie-mannian manifold ...
Abstract. We prove that for symmetric Markov processes of diffusion type admitting a “carre ́ du cha...
Let $(\mathcal{N},\tau)$ be a noncommutative $W^*$ probability space, where $\mathcal{N}$ is a finit...
Let be a one-parameter family of positive integral operators on a locally compact space . For a poss...