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math.PR2016
The critical Galton-Watson process vanishes
Olivier Garet
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 es…
math.PR2016
Les lois Zêta pour l'arithmétique
Olivier Garet
This paper provides a probabilist point of view about some results in analytic number theory. The main tool is the family of Zeta laws, which is a consolation for the non-existence…