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A concrete estimate for the weak Poincaré inequality on loop space
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Chen, Xin, Li, X-M. (Xue-Mei), 1964- and Wu, Bo. (2011) A concrete estimate for the weak Poincaré inequality on loop space. Probability Theory and Related Fields, Vol.151 (No.3-4). pp. 559-590. ISSN 0178-8051
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Official URL: http://dx.doi.org/10.1007/s00440-010-0308-5
Abstract
The aim of the paper is to study the pinned Wiener measure on the loop space over a simply connected compact Riemannian manifold together with a Hilbert space structure and the Ornstein-Uhlenbeck operator d*d. We give a concrete estimate for the weak Poincar, inequality, assuming positivity of the Ricci curvature of the underlying manifold. The order of the rate function is s (-alpha) for any alpha > 0.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Mathematics |
| Library of Congress Subject Headings (LCSH): | Brownian bridges (Mathematics), Loop spaces, Inequalities (Mathematics) |
| Journal or Publication Title: | Probability Theory and Related Fields |
| Publisher: | Springer |
| ISSN: | 0178-8051 |
| Date: | December 2011 |
| Volume: | Vol.151 |
| Number: | No.3-4 |
| Page Range: | pp. 559-590 |
| Identification Number: | 10.1007/s00440-010-0308-5 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| Funder: | Engineering and Physical Sciences Research Council (EPSRC) |
| Grant number: | EP/E058124/1 (EPSRC) |
| URI: | http://wrap.warwick.ac.uk/id/eprint/39844 |
Data sourced from Thomson Reuters' Web of Knowledge
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