×

The exit problem for a class of density-dependent branching systems. (English) Zbl 0815.60025

The paper deals with small random perturbations of maps of an interval. The results have the flavour of a discrete time version of the Wentzell- Freidlin theory considered also in [reviewer, Ann. Probab. 18, No. 4, 1676-1692 (1990; Zbl 0718.60022)], where similar problems were treated under somewhat different assumptions.

MSC:

60F10 Large deviations
60J80 Branching processes (Galton-Watson, birth-and-death, etc.)
60J05 Discrete-time Markov processes on general state spaces

Citations:

Zbl 0718.60022
PDF BibTeX XML Cite
Full Text: DOI