LOCAL LIMITS OF GALTON-WATSON TREES CONDITIONED ON LARGE WIDTH
Résumé
We study the local convergence of critical Galton-Watson trees under various conditionings. We give a sufficient condition, which serves to cover all the previous cases, for the convergence in distribution of a conditioned Galton-Watson tree to Kesten's tree. We also propose an other proof to give the limit in distribution of a critical Galton-Watson tree, with bounded support, conditioned on having a large width.
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