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Large Deviations for Heat Kernel Measures on Loop Spaces Via Rough Paths
Author(s) -
Inahama Yuzuru,
Kawabi Hiroshi
Publication year - 2006
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610706022654
Subject(s) - heat kernel , mathematics , loop (graph theory) , kernel (algebra) , extension (predicate logic) , pure mathematics , mathematical analysis , computer science , combinatorics , programming language
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.