Add to ORKGWe show that the Laplacian on the loop space over a class of Riemannian manifolds has a spectral gap. The Laplacian is defined using the Levi-Civita connection, the Brownian bridge measure and the standard Bismut tangent spaces
Abstract. In the first part we consider the Laplace operator with Neumann boundary conditions on a c...
AbstractWe introduce a certain kind of strong ergodicity condition to study the existence of spectra...
Abstract: Recently A. Naber obtained the characterization of the bound of the Ricci curvature by ana...
AbstractWe show that the Laplacian on the loop space over a class of Riemannian manifolds has a spec...
We show that the Laplacian on the loop space over a class of Riemannian manifolds has a spectral gap...
We show that the Laplacian on the loop space over a class of Riemannian manifolds has a spectral gap...
AbstractWe prove Poincaré inequalities w.r.t. the distributions of Brownian bridges on sets of loops...
AbstractLet M be a compact simply connected Riemannian manifold which contains a non-trivial closed ...
Gong F, Röckner M, Liming W. Poincaré inequality for weighted first order Sobolev spaces on loop spa...
In this text, we survey some basic results related to the New Weyl criterion for the essential spect...
The aim of the paper is to study the pinned Wiener measure on the loop space over a simply connected...
We consider the path space of a manifold with a measure induced by a stochastic flow with an infinit...
International audienceIn this paper, we will give some remarks on links between the spectral gap of ...
Let N be a finite or infinite dimensional manifold, µ a probability measure, d an differential opera...
AbstractLet E be the loop space over a compact connected Riemannian manifold with a torsion skew sym...
Abstract. In the first part we consider the Laplace operator with Neumann boundary conditions on a c...
AbstractWe introduce a certain kind of strong ergodicity condition to study the existence of spectra...
Abstract: Recently A. Naber obtained the characterization of the bound of the Ricci curvature by ana...
AbstractWe show that the Laplacian on the loop space over a class of Riemannian manifolds has a spec...
We show that the Laplacian on the loop space over a class of Riemannian manifolds has a spectral gap...
We show that the Laplacian on the loop space over a class of Riemannian manifolds has a spectral gap...
AbstractWe prove Poincaré inequalities w.r.t. the distributions of Brownian bridges on sets of loops...
AbstractLet M be a compact simply connected Riemannian manifold which contains a non-trivial closed ...
Gong F, Röckner M, Liming W. Poincaré inequality for weighted first order Sobolev spaces on loop spa...
In this text, we survey some basic results related to the New Weyl criterion for the essential spect...
The aim of the paper is to study the pinned Wiener measure on the loop space over a simply connected...
We consider the path space of a manifold with a measure induced by a stochastic flow with an infinit...
International audienceIn this paper, we will give some remarks on links between the spectral gap of ...
Let N be a finite or infinite dimensional manifold, µ a probability measure, d an differential opera...
AbstractLet E be the loop space over a compact connected Riemannian manifold with a torsion skew sym...
Abstract. In the first part we consider the Laplace operator with Neumann boundary conditions on a c...
AbstractWe introduce a certain kind of strong ergodicity condition to study the existence of spectra...
Abstract: Recently A. Naber obtained the characterization of the bound of the Ricci curvature by ana...