Using martingale theory, this note proves that Galton-Watson branching processes are a.s. convergent even when the assumption of homogeneity of reproduction is dropped.
Publié le : 1974-04-14
Classification:
Almost sure convergence,
Galton-Watson branching processes,
varying environments,
random environments,
60J80,
60F15
@article{1176996717,
author = {Lindvall, Torgny},
title = {Almost Sure Convergence of Branching Processes in Varying and Random Environments},
journal = {Ann. Probab.},
volume = {2},
number = {6},
year = {1974},
pages = { 344-346},
language = {en},
url = {http://dml.mathdoc.fr/item/1176996717}
}
Lindvall, Torgny. Almost Sure Convergence of Branching Processes in Varying and Random Environments. Ann. Probab., Tome 2 (1974) no. 6, pp. 344-346. http://gdmltest.u-ga.fr/item/1176996717/