Displaying similar documents to “On a result of David Aldous concerning the trees in a conditioned excursion.”

Random real trees

Jean-François Le Gall (2006)

Annales de la faculté des sciences de Toulouse Mathématiques


We survey recent developments about random real trees, whose prototype is the Continuum Random Tree (CRT) introduced by Aldous in 1991. We briefly explain the formalism of real trees, which yields a neat presentation of the theory and in particular of the relations between discrete Galton-Watson trees and continuous random trees. We then discuss the particular class of self-similar random real trees called stable trees, which generalize the CRT. We review several important results concerning...

Conditioned brownian trees

Jean-François Le Gall, Mathilde Weill (2006)

Annales de l'I.H.P. Probabilités et statistiques