Conditioning and initial enlargement of filtration on a Riemannian manifold

Mathematics – Probability

Scientific paper

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Published by the Institute of Mathematical Statistics (http://www.imstat.org) in the Annals of Probability (http://www.imsta

Scientific paper

10.1214/009117904000000126

We extend to Riemannian manifolds the theory of conditioned stochastic
differential equations. We also provide some enlargement formulas for the
Brownian filtration in this nonflat setting.

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