A Path-Integral Approach to the Cameron-Martin-Maruyama-Girsanov Formula Associated to a Bilaplacian. (26th December 2012)

• Record Type: Journal Article
• Authors: Léandre, Rémi
• Other Names: Xiao Ti J. Academic Editor.
• Is Part Of: Journal of function spaces and applications. Volume 2012(2012)
• Publication Date: 2012-12-26
• Subjects: Function spaces -- Periodicals; 515.73
• DOI: 10.1155/2012/458738
• Languages: English
• ISSNs: 0972-6802

Abstract

Abstract : We define the Wiener product on a bosonic Connes space associated to a Bilaplacian and we introduce formal Wiener chaos on the path space. We consider the vacuum distribution on the bosonic Connes space and show that it is related to the heat semigroup associated to the Bilaplacian. We deduce a Cameron-Martin quasi-invariance formula for the heat semigroup associated to the Bilaplacian by using some convenient coherent vector. This paper enters under the Hida-Streit approach of path integral.