Du 23 au 25 juin 2025
Virgile Brodu
A result of convergence for measure-valued processes
First, we introduce càdlàg measure-valued processes, with biological motivations. We focus on the construction with Poisson point measures and the useful martingale properties it entails. Then, we present a general convergence result for these measure-valued processes. In the literature, such a convergence result is proven with bounded growth, birth and death rates. We present a more general framework with unbounded rates, where the convergence still holds true in a weighted space of measures. This is joint work with Nicolas Champagnat and Coralie Fritsch.
Jean-Marie Monnez
Analyse de données en ligne – Analyse canonique de deux vecteurs aléatoires
Nicolas Champagnat
Une méthode élémentaire pour la convergence de processus de naissance et mort dans une asymptotique de grande population