5 papers
Arithm{é}tique des primes pluri-annuelles
Olivier Garet
This short note studies the simple arithmetic properties of multi-year bonus allocation systems, as recently implemented in the population of teacher-researchers, with the PEDR on…
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…
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…
Déviations modérées de la distance chimique
Olivier Garet, Régine Marchand
In this paper, we establish moderate deviations for the chemical distance in Bernoulli percolation. The chemical distance between two points is the length of the shortest open path…
La forme asymptotique du processus de contact en environnement aléatoire
Olivier Garet, Régine Marchand
The aim of this article is to prove asymptotic shape theorems for the contact process in stationary random environment. These theorems generalize known results for the classical co…