TY - JOUR
T1 - Large deviations for heat kernel measures on loop spaces via rough paths
AU - Inahama, Yuzuru
AU - Kawabi, Hiroshi
N1 - Funding Information:
Received 1 October 2004. 2000 Mathematics Subject Classification 60B12 (primary), 58J65, 60G15 (secondary). This research was supported by JSPS Research Fellowships for Young Scientists.
PY - 2006/6
Y1 - 2006/6
N2 - 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.
AB - 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.
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U2 - 10.1112/S0024610706022654
DO - 10.1112/S0024610706022654
M3 - Review article
AN - SCOPUS:33749362712
SN - 0024-6107
VL - 73
SP - 797
EP - 816
JO - Journal of the London Mathematical Society
JF - Journal of the London Mathematical Society
IS - 3
ER -