Descendants in increasing trees.
Kuba, Markus, Panholzer, Alois (2006)
The Electronic Journal of Combinatorics [electronic only]
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Kuba, Markus, Panholzer, Alois (2006)
The Electronic Journal of Combinatorics [electronic only]
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Zhan Shi (2011)
ESAIM: Proceedings
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These notes provide an elementary and self-contained introduction to branching random walks. Section 1 gives a brief overview of Galton–Watson trees, whereas Section 2 presents the classical law of large numbers for branching random walks. These two short sections are not exactly indispensable, but they introduce the idea of using size-biased trees, thus giving motivations and an avant-goût to the main part, Section 3, where branching...
Goldschmidt, Christina, Martin, James B. (2005)
Electronic Journal of 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...
Duquesne, Thomas, Le Gall, Jean-Francois (2009)
Electronic Communications in Probability [electronic only]
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Martínez, Conrado, Panholzer, Alois, Prodinger, Helmut (1998)
The Electronic Journal of Combinatorics [electronic only]
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L. Devroye, P. Kruszewski (1996)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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Le Gall, Jean-François (2005)
Probability Surveys [electronic only]
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Drmota, Michael, Gittenberger, Bernhard (2004)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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