The critical Galton-Watson process vanishes
classification
🧮 math.PR
keywords
galton-watsonprocessproofanalyticargumentsbasicbelongsbezuidenhout
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.