Self-similar fragmentations derived from the stable tree II: splitting at nodes

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dc.creatorMiermont, Gregory Marc
dc.date2004-05-10
dc.date.accessioned2026-07-07T06:26:56Z
dc.date.available2026-07-07T06:26:56Z
dc.descriptionWe study a natural fragmentation process of the so-called stable tree introduced by Duquesne and Le Gall, which consists in removing the nodes of the tree according to a certain procedure that makes the fragmentation self-similar with positive index. Explicit formulas for the semigroup are given, and we provide asymptotic results. We also give an alternative construction of this fragmentation, using paths of Levy processes, hence echoing the two alternative constructions of the standard additive coalescent by fragmenting the Brownian continuum random tree or using Brownian paths, respectively due to Aldous-Pitman and Bertoin.
dc.description32 pages
dc.identifierhttps://arxiv.org/abs/math/0405170
dc.identifierhttp://arxiv.org/abs/math/0405170
dc.identifierProbability Theory and Related Fields 131 (2005) 341--375
dc.identifierdoi:10.1007/s00440-004-0373-8
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97268
dc.subjectProbability
dc.subject60J25 ; 60G52
dc.titleSelf-similar fragmentations derived from the stable tree II: splitting at nodes
dc.typetext

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