On the re-rooting invariance property of Levy trees

Thomas Duquesne (1) , Jean-Francois Le Gall (2)

1 LPMA - Laboratoire de Probabilités et Modèles Aléatoires
2 LM-Orsay - Laboratoire de Mathématiques d'Orsay

We prove a strong form of the invariance under re-rooting of the distribution of the continuous random trees called Levy trees. This extends previous results due to several authors.

Domaines: Probabilités [math.PR]

Thomas Duquesne, Jean-Francois Le Gall. On the re-rooting invariance property of Levy trees. 2009. ⟨hal-00451075⟩