Convergence of multitype Galton-Watson forests to stable forests
par
Gabriel Berzunza(Université de Zurich)
→
Europe/Paris
salle 435 (UMPA)
salle 435
UMPA
Description
Multitype Galton-Watson (GW) processes arise as a natural generalization of usual GW processes, in which individuals are differentiated by types that determine their offspring distribution. In this talk, we investigate the ancestor trees and forests associated with irreducible multitype GW processes, when the total number of types is finite. Under criticality hypotheses on the mean matrix, and such that the offspring distributions belong to the domain of attraction of a stable law, we show that these forests (after a proper rescaling) converge to the continuum random stable tree.
