In this paper we obtain necessary and sufficient conditions for the reversibility of the diffusion property, assuming the existence of a density at every time $t$. The proofs are based on techniques of the stochastic calculus of variations.
Publié le : 1989-01-14
Classification:
Time reversal,
diffusions,
integration by parts formula,
60J60
@article{1176991505,
author = {Millet, A. and Nualart, D. and Sanz, M.},
title = {Integration by Parts and Time Reversal for Diffusion Processes},
journal = {Ann. Probab.},
volume = {17},
number = {4},
year = {1989},
pages = { 208-238},
language = {en},
url = {http://dml.mathdoc.fr/item/1176991505}
}
Millet, A.; Nualart, D.; Sanz, M. Integration by Parts and Time Reversal for Diffusion Processes. Ann. Probab., Tome 17 (1989) no. 4, pp. 208-238. http://gdmltest.u-ga.fr/item/1176991505/