Year: 2016
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Garet, Olivier
Institutions: Institut Élie Cartan de Lorraine, Université de Lorraine
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2530417830