prove a large deviation principle for the density field of
independent particle systems in an infinite volume. We then deduce from the
one-dimensional case of this result the large deviations for the occupation
times of various sets (from microscopic to macroscopic scales) and we recover
the theorem established by Cox and Griffeath. An expression of the rate
function is given using the Brownian motion local time as in Deuschel and
Wang.
Publié le : 1996-02-14
Classification:
Occupation times,
large deviations,
rate functions,
infinite particle systems,
60K35,
60F10
@article{1034968074,
author = {Benois, O.},
title = {Large deviations for the occupation times of independent particle
systems},
journal = {Ann. Appl. Probab.},
volume = {6},
number = {1},
year = {1996},
pages = { 269-296},
language = {en},
url = {http://dml.mathdoc.fr/item/1034968074}
}
Benois, O. Large deviations for the occupation times of independent particle
systems. Ann. Appl. Probab., Tome 6 (1996) no. 1, pp. 269-296. http://gdmltest.u-ga.fr/item/1034968074/