The influence of noise on a class of discrete time systems arising from models of density-dependent branching processes is investigated. By considering iterates of the basic map, the time to escape from a stable orbit is investigated as a (nonstandard) problem of exit from a domain.
Publié le : 1994-11-14
Classification:
Exit problem,
branching systems,
large deviations,
logistic map,
60J80,
60F10
@article{1177004911,
author = {Klebaner, Fima C. and Zeitouni, Ofer},
title = {The Exit Problem for a Class of Density-Dependent Branching Systems},
journal = {Ann. Appl. Probab.},
volume = {4},
number = {4},
year = {1994},
pages = { 1188-1205},
language = {en},
url = {http://dml.mathdoc.fr/item/1177004911}
}
Klebaner, Fima C.; Zeitouni, Ofer. The Exit Problem for a Class of Density-Dependent Branching Systems. Ann. Appl. Probab., Tome 4 (1994) no. 4, pp. 1188-1205. http://gdmltest.u-ga.fr/item/1177004911/