Critical multi-type Galton- Watson trees conditioned to be large
Résumé
Under minimal condition, we prove the local convergence of a critical multi-type Galton-Watson tree conditioned on having a large total progeny by types towards a multi-type Kesten's tree. We obtain the result by generalizing Neveu's strong ratio limit theorem for aperiodic random walks on Z^d .
Domaines
Probabilités [math.PR]| Origine | Fichiers produits par l'(les) auteur(s) |
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