32 citations · 49 across the 7 of their papers we have counts for
8 papers
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…
Discretization methods for homogeneous fragmentations
Jean Bertoin, Alain Rouault
Homogeneous fragmentations describe the evolution of a unit mass that breaks down randomly into pieces as time passes. They can be thought of as continuous time analogs of a certai…
Dual random fragmentation and coagulation and an application to the genealogy of Yule processes
Jean Bertoin, Christina Goldschmidt
The purpose of this work is to describe a duality between a fragmentation associated to certain Dirichlet distributions and a natural random coagulation. The dual fragmentation and…