Marked excursions and random trees
David G. Hobson (2000)
Séminaire de probabilités de Strasbourg
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Displaying similar documents to “The branching process in a brownian excursion”
Marked excursions and random trees
Renewal property of the extrema and tree property of the excursion of a one-dimensional brownian motion
Jacques Neveu, Jim Pitman (1989)
Séminaire de probabilités de Strasbourg
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On a result of David Aldous concerning the trees in a conditioned excursion.
Warren, Jon (1999)
Electronic Communications in Probability [electronic only]
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Brownian excursion conditioned on its local time.
Aldous, David J. (1998)
Electronic Communications in Probability [electronic only]
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Random trees and applications.
Le Gall, Jean-François (2005)
Probability Surveys [electronic only]
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Conditioned brownian trees
Jean-François Le Gall, Mathilde Weill (2006)
Annales de l'I.H.P. Probabilités et statistiques
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The distribution of local times of a brownian bridge
Jim Pitman (1999)
Séminaire de probabilités de Strasbourg
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Random real trees
Jean-François Le Gall (2006)
Annales de la faculté des sciences de Toulouse Mathématiques
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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...