LOCAL LIMITS OF GALTON-WATSON TREES CONDITIONED ON LARGE WIDTH

Abstract

International audienceWe 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