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- W2020124182 abstract "Let M be a complete and compact Riemannian manifold, m 0 a fixed point of M, and γ the pinned Brownian motion based at m 0. In this note, we define a forward stochastic integral with respect to γ. We show that it is an extension of the usual It stochastic integral for adapted processes in L 2(T m 0 (M)), give a substitution formula for a large class of processes, and then show a change of variable formula in this context." @default.
- W2020124182 created "2016-06-24" @default.
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- W2020124182 date "2002-03-21" @default.
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- W2020124182 title "On forward stochastic integrals over the loop space" @default.
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- W2020124182 doi "https://doi.org/10.1081/sap-120002429" @default.
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