Asymptotics of spectral gaps on loop spaces over a class of Riemannian manifolds
Abstract
We prove the existence of spectral gaps of Ornstein-Uhlenbeck operators on loop spaces over a class of Riemannian manifolds which include hyperbolic spaces. This is an alternative proof and an extension of a result in Chen-Li-Wu in J. Funct. Anal. 259 (2010), 1421-1442. Further, we study the asymptotic behavior of the spectral gap.
- Publication:
-
arXiv e-prints
- Pub Date:
- January 2014
- DOI:
- 10.48550/arXiv.1401.6739
- arXiv:
- arXiv:1401.6739
- Bibcode:
- 2014arXiv1401.6739A
- Keywords:
-
- Mathematics - Probability
- E-Print:
- This paper contains the subject in arXiv:1110.2307. This version is accepted for publication in Journal of Functional Analysis