Pré-Publication, Document De Travail (Preprint/Prepublication) Année : 2023

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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hal-04101663 , version 1 (21-05-2023)

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  • HAL Id : hal-04101663 , version 1

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Aymen Bouaziz. LOCAL LIMITS OF GALTON-WATSON TREES CONDITIONED ON LARGE WIDTH. 2023. ⟨hal-04101663⟩
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