We define the speed of the curved Brownian bridge as a white noise distribution operating on stochastic Chen integrals.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-22,
author = {R\'emi L\'eandre},
title = {Speed of the Brownian loop on a manifold},
journal = {Banach Center Publications},
volume = {72},
year = {2006},
pages = {299-307},
zbl = {1109.58036},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-22}
}
Rémi Léandre. Speed of the Brownian loop on a manifold. Banach Center Publications, Tome 72 (2006) pp. 299-307. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-22/