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.
Publié le : 2004-07-14
Classification:
Conditioned stochastic differential equations,
diffusions on manifolds,
initial enlargement of filtration,
Malliavin–Bismut calculus of variations,
58G32,
60J60,
60H10
@article{1089808426,
author = {Baudoin, Fabrice},
title = {Conditioning and initial enlargement of filtration on a Riemannian manifold},
journal = {Ann. Probab.},
volume = {32},
number = {1A},
year = {2004},
pages = { 2286-2303},
language = {en},
url = {http://dml.mathdoc.fr/item/1089808426}
}
Baudoin, Fabrice. Conditioning and initial enlargement of filtration on a Riemannian manifold. Ann. Probab., Tome 32 (2004) no. 1A, pp. 2286-2303. http://gdmltest.u-ga.fr/item/1089808426/