Large deviations for heat kernel measures on loop spaces via rough paths

• Autores: Yuzuru Inahama, Hiroshi Kawabi
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 73, Nº 3, 2006, págs. 797-816
• Idioma: inglés
• DOI: 10.1112/s0024610706022654
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• Resumen

  • 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.