Limit theorems for some branching measure-valued processes - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2011

Limit theorems for some branching measure-valued processes

Résumé

We consider a particles system in continuous time, discrete population, with spatial motion, and nonlocal branching. The offspring weights and their number may depend on the mother's weight. Our setting capture, for instance, the processes indexed by Galton-Watson tree. Using an (size-biased) auxiliary process for the empirical measure, we determine this asymptotic behaviour. Our model is a microscopic description of a random (discrete) population of individuals. We also obtain a large population approximation as weak solution of a growth-fragmentation equation. A size-structured population model and an infected cell model illustrate our results.
Fichier principal
Vignette du fichier
cloez180711.pdf (262.54 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00598030 , version 1 (03-06-2011)
hal-00598030 , version 2 (02-09-2011)
hal-00598030 , version 3 (11-10-2012)

Identifiants

Citer

Bertrand Cloez. Limit theorems for some branching measure-valued processes. 2011. ⟨hal-00598030v2⟩
127 Consultations
408 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More