Quasi-limiting behaviour of the sub-critical Multitype Bisexual Galton-Watson Branching Process
Comportement quasi-limite du processus de branchement bi-sexué multi-type de Galton-Watson sous-critique
Résumé
We investigate the quasi-limiting behaviour of bisexual subcritical Galton-Watson branching processes. While classical subcritical Galton-Watson processes have been extensively analyzed, bisexual Galton-Watson branching processes present unique difficulties because of the lack of the branching property. To prove the existence of and convergence to one or several quasi-stationary distributions, we leverage on recent developments linking bisexual Galton-Watson branching processes extinction to the eigenvalue of a concave operator.
| Origine | Fichiers produits par l'(les) auteur(s) |
|---|