Abstract : 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.
https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01557781
Contributeur : Imb - Université de Bourgogne
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Soumis le : jeudi 6 juillet 2017 - 15:42:42
Dernière modification le : vendredi 8 juin 2018 - 14:50:07
Shizan Fang, Bo Wu. Remarks on spectral gaps on the Riemannian path space. Electronic Communications in Probability, Institute of Mathematical Statistics (IMS), 2017, 22, 〈10.1214/17-ECP51〉. 〈hal-01557781〉
