Galton-Watson process. (Proceso de Galton-Watson.)
Genealogy of flows of continuous-state branching processes via flows of partitions and the Eve property
We encode the genealogy of a continuous-state branching process associated with a branching mechanism – or in short – using a stochastic flow of partitions. This encoding holds for all branching mechanisms and appears as a very tractable object to deal with asymptotic behaviours and convergences. In particular we study the so-called Eve property – the existence of an ancestor from which the entire population descends asymptotically – and give a necessary and sufficient condition on the for...
General branching processes conditioned on extinction are still branching processes.
Glauber dynamics of continuous particle systems
Grandes déviations, dynamique de populations et phénomènes malthusiens
Grandes déviations pour une famille de processus de Galton-Watson dépendant de l'effectif de la population