Date
2015
Ville de l'éditeur
Paris
Lien vers un document non conservé dans cette base
https://arxiv.org/abs/1407.5691v1
Indexation documentaire
Probabilités et mathématiques appliquées
Subject
generalized Mittag-Leffler distributions; Dirichlet distributions; stable Lévy trees; line-breaking
Nom de la revue
Electronic Journal of Probability
Volume
20
Date de publication
2015
Pages article
24 p.
Nom de l'éditeur
Electronic Journal of Probability and Electronic Communications in Probability
Auteur
Goldschmidt, Christina
Haas, Bénédicte
Type
Article accepté pour publication ou publié
Résumé en anglais
We give a new, simple construction of the α-stable tree for α∈(1,2]. We obtain it as the closure of an increasing sequence of R-trees inductively built by gluing together line-segments one by one. The lengths of these line-segments are related to the the increments of an increasing R+-valued Markov chain. For α=2, we recover Aldous' line-breaking construction of the Brownian continuum random tree based on an inhomogeneous Poisson process.
