Remarks on spectral gaps on the Riemannian path space
| Affiliation auteurs | Affiliation ok |
| Titre | Remarks on spectral gaps on the Riemannian path space |
| Type de publication | Journal Article |
| Year of Publication | 2017 |
| Auteurs | Fang S, Wu B |
| Journal | ELECTRONIC COMMUNICATIONS IN PROBABILITY |
| Volume | 22 |
| Type of Article | Article |
| ISSN | 1083-589X |
| Mots-clés | damped gradient, martingale representation, Ricci curvature, small time behaviour, spectral gap |
| Résumé | In this paper, we will give some remarks on links between the spectral gap of the Ornstein-Uhlenbeck operator on the Riemannian path space with lower and upper bounds of the Ricci curvature on the base manifold; this work was motivated by a recent work of A. Naber on the characterization of the bound of the Ricci curvature by analysis of path spaces. |
| DOI | 10.1214/17-ECP51 |