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- W4300617612 abstract "We prove an infinite dimensional integration by parts formula on the law of the modulus of the Brownian bridge $BB=(BB_t)_{0 leq t leq 1}$ from $0$ to $0$ in use of methods from white noise analysis and Dirichlet form theory. Additionally to the usual drift term, this formula contains a distribution which is constructed in the space of Hida distributions by means of a Wick product with Donsker's delta (which correlates with the local time of $|BB|$ at zero). This additional distribution corresponds to the reflection at zero caused by the modulus." @default.
- W4300617612 created "2022-10-03" @default.
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- W4300617612 date "2016-09-08" @default.
- W4300617612 modified "2023-09-23" @default.
- W4300617612 title "Integration by parts on the law of the modulus of the Brownian bridge" @default.
- W4300617612 doi "https://doi.org/10.48550/arxiv.1609.02438" @default.
- W4300617612 hasPublicationYear "2016" @default.
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