Reversal property of the Brownian tree
Résumé
We consider the Brownian tree introduced by Aldous and the associated
Q-process which consists in an infinite spine on which are grafted
independent Brownian trees. We present a reversal procedure on
these trees that consists in looking
at the tree downward from its top: the branching points becoming
leaves and leaves becoming branching points. We prove that the
distribution of the tree is invariant under this reversal
procedure, which provides a better understanding of previous results
from Bi and Delmas (2016).
Domaines
Probabilités [math.PR]
Origine : Fichiers produits par l'(les) auteur(s)
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