3 papers
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…
math.PR2009
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…
math.PR2008
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…