We establish the large deviation principle for stochastic
differential equations with averaging in the case when all coefficients of the
fast component depend on the slow one, including diffusion.
Publié le : 1999-01-14
Classification:
Large deviations,
averaging,
stochastic differential equation,
60F10,
60J60
@article{1022677263,
author = {Veretennikov, A. Yu.},
title = {On Large Deviations in the Averaging Principle for SDEs with a
``Full Dependence''},
journal = {Ann. Probab.},
volume = {27},
number = {1},
year = {1999},
pages = { 284-296},
language = {en},
url = {http://dml.mathdoc.fr/item/1022677263}
}
Veretennikov, A. Yu. On Large Deviations in the Averaging Principle for SDEs with a
“Full Dependence”. Ann. Probab., Tome 27 (1999) no. 1, pp. 284-296. http://gdmltest.u-ga.fr/item/1022677263/