Abstract : 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 .
https://hal.archives-ouvertes.fr/hal-01224696 Contributor : Romain AbrahamConnect in order to contact the contributor Submitted on : Monday, September 26, 2016 - 4:56:31 PM Last modification on : Wednesday, November 3, 2021 - 6:38:42 AM