A principle of large deviations from the McKean-Vlasov limit is derived for a class of measure-valued jump processes. It is shown that the associated rate function admits several representations, including the one obtained by entropy methods and the one derived by a pathwise approach.
@article{1176988190,
author = {Djehiche, Boualem and Kaj, Ingemar},
title = {The Rate Function for Some Measure-Valued Jump Processes},
journal = {Ann. Probab.},
volume = {23},
number = {3},
year = {1995},
pages = { 1414-1438},
language = {en},
url = {http://dml.mathdoc.fr/item/1176988190}
}
Djehiche, Boualem; Kaj, Ingemar. The Rate Function for Some Measure-Valued Jump Processes. Ann. Probab., Tome 23 (1995) no. 3, pp. 1414-1438. http://gdmltest.u-ga.fr/item/1176988190/