7 citations · 8 across the 3 of their papers we have counts for
5 papers · 1 filter
Stochastic flows associated to coalescent processes III: Limit theorems
Jean Bertoin, Jean-François Le Gall
We prove several limit theorems that relate coalescent processes to continuous-state branching processes. Some of these theorems are stated in terms of the so-called generalized Fl…
Different Aspects of a Model for Random Fragmentation Processes
Jean Bertoin
This text surveys different probabilistic aspects of a model which is used to describe the evolution of an object that falls apart randomly as time passes. Each point of view yield…
Some Connections Between (Sub)Critical Branching Mechanisms and Bernstein Functions
Jean Bertoin, Bernard Roynette, Marc Yor
We describe some connections, via composition, between two functional spaces: the space of (sub)critical branching mechanisms and the space of Bernstein functions. The functions ${…
Asymptotical behaviour of the presence probability in branching random walks and fragmentations
Jean Bertoin, Alain Rouault
For a subcritical Galton-Watson process , it is well known that under an condition, the quotient has a finite positive limit. There is an analo…
Asymptotic laws for nonconservative self-similar fragmentations
Jean Bertoin, Alexander Gnedin
We consider a self-similar fragmentation process in which the generic particle of size is replaced at probability rate , by its offspring made of smaller particles, where…