Date/heure
18 avril 2018
11:00 - 12:15
Oratrice ou orateur
José-Alfredo Lopez-Mimbela
Catégorie d'évènement Groupe de travail Probabilités et Statistique
Résumé
We consider a critically branching population in R^d of particles of K types, starting off from a Poisson random
population. The branching laws, lifetimes and motions of particles are type-dependent.
We give conditions for asymptotic extinction in the following two cases:
1. All particle lifetimes have finite means,
2. There is a particle whose lifetime disruption has heavy tail, and the other lifetimes have finite mean.
These conditions depend upon the mobility, fertility and longevity parameters of the population.