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A remark on non-smoothness of the self-intersection local time of planar Brownian motion

โœ Scribed by Sergio Albeverio; Yaozhong Hu; Xian Yin Zhou


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
387 KB
Volume
32
Category
Article
ISSN
0167-7152

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โœฆ Synopsis


Using the It6-Wiener chaos expansion we prove that the normalized self-intersection local time of planar Brownian motion is not differentiable in the sense of Meyer-Watanabe.


๐Ÿ“œ SIMILAR VOLUMES


Multiple Intersection Local Time of Plan
โœ Peter Imkeller; Jia-An Yan ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 704 KB

Subspaces of the space of Hida distributions are quantified in which the multiple intersection local time of planar Brownian motion, renormalized by taking off the term of order zero in its chaos decomposition, lives. This is done by means of a new formula expressing the expectation of higher produc