Hostname: page-component-84b7d79bbc-l82ql Total loading time: 0 Render date: 2024-07-28T16:53:56.153Z Has data issue: false hasContentIssue false
  • English
  • Français

LARGE DEVIATIONS FOR HEAT KERNEL MEASURES ON LOOP SPACES VIA ROUGH PATHS

Published online by Cambridge University Press:  16 June 2006

YUZURU INAHAMA  and
HIROSHI KAWABI
YUZURU INAHAMA
Affiliation:
Department of Mathematical Science, Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, 560-8531, Japan Department of Mathematics, Graduate School of Science and Engineering, Tokyo Institute of Technology, 2-12-1, Oh-okayama, Meguro-ku, Tokyo, 152-8551, Japaninahama@kusm.kyoto-u.ac.jp
HIROSHI KAWABI
Affiliation:
Department of Mathematical Science, Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, 560-8531, Japan Graduate School of Mathematics, Kyushu University, 6-10-1, Hakozaki, Higashi-ku, Fukuoka, 812-8581, Japankawabi@sigmath.es.osaka-u.ac.jp
Get access

Abstract

The main objective of this paper is to establish a large deviation principle for heat kernel measures on loop spaces. It gives an extension of Fang and Zhang's results on loop groups. For the proof, we use the continuity theorem of Lyons' rough path theory.

Keywords

60B12 (primary)58J6560G15 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 73 , Issue 3 , June 2006 , pp. 797 - 816
Copyright
The London Mathematical Society 2006

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

This research was supported by JSPS Research Fellowships for Young Scientists.