152 citations · 607 across the 56 of their papers we have counts for
70 papers
Reinforced Galton--Watson processes III: Empirical offspring distributions
Jean Bertoin, Bastien Mallein
Reinforced Galton--Watson processes describe the dynamics of a population where reproduction events are reinforced, in the sense that offspring numbers of forebears can be repeated…
Self-similar Markov trees and scaling limits
Jean Bertoin, Nicolas Curien, Armand Riera
Self-similar Markov trees constitute a remarkable family of random compact real trees carrying a decoration function that is positive on the skeleton. As the terminology suggests,…
Reinforced Galton-Watson processes II: Large time behaviors
Jean Bertoin, Bastien Mallein
Reinforced Galton-Watson processes have been introduced in arxiv:2306.02476 as population models with non-overlapping generations, such that reproduction events along genealogical…
Reinforced Galton-Watson processes I: Malthusian exponents
Jean Bertoin, Bastien Mallein
In a reinforced Galton-Watson process with reproduction law and memory parameter , the number of children of a typical individual either, with probability…
Limits of Pólya urns with innovations
Jean Bertoin
We consider a version of the classical Pólya urn scheme which incorporates innovations. The space of colors is an arbitrary measurable set. After each sampling of a ball in the…
A model for an epidemic with contact tracing and cluster isolation, and a detection paradox
Jean Bertoin
We determine the distributions of some random variables related to a simple model of an epidemic with contact tracing and cluster isolation. This enables us to apply general limit…