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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, [email protected]
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, [email protected]
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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

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Footnotes

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