A phase transition for the heights of a fragmentation tree
Résumé
We provide information about the asymptotic regimes for a homogeneous fragmentation of a finite set. We establish a phase transition for the asymptotic behaviours of the shattering times, defined as the first instants when all the blocks of the partition process have cardinality less than a fixed integer. Our results may be applied to the study of certain random split trees.
Origine : Fichiers produits par l'(les) auteur(s)
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