The critical Galton-Watson process vanishes
Probability
2016-10-11 v1
Abstract
The Galton-Watson process belongs to standard teaching in probability. The basic theorem says that survival is only possible when the fecondity exceeds 1. The classical proof is essentially analytic, using generating functions and convexity arguments. We give here a more probabilistic proof, in the spirit of Bezuidenhout and Grimmett.
Cite
@article{arxiv.1610.02866,
title = {The critical Galton-Watson process vanishes},
author = {Olivier Garet},
journal= {arXiv preprint arXiv:1610.02866},
year = {2016}
}
Comments
in French