32 citations · 49 across the 7 of their papers we have counts for
5 papers · 2 filters
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…
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…