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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Jacques Neveu, Jim Pitman (1989)
Séminaire de probabilités de Strasbourg
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Jacques Neveu, James W. Pitman (1989)
Séminaire de probabilités de Strasbourg
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Le Gall, Jean-François (2005)
Probability Surveys [electronic only]
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Warren, Jon (1999)
Electronic Communications in Probability [electronic only]
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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...
Aldous, David J. (1998)
Electronic Communications in Probability [electronic only]
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Jean-François Le Gall, Mathilde Weill (2006)
Annales de l'I.H.P. Probabilités et statistiques
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Janson, Svante, Chassaing, Philippe (2004)
Electronic Communications in Probability [electronic only]
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Duquesne, Thomas, Le Gall, Jean-Francois (2009)
Electronic Communications in Probability [electronic only]
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