Fragmentation associated to Levy processes using snake

dc.creatorAbraham, Romain
dc.creatorDelmas, Jean-Francois
dc.date2005-11-29
dc.date.accessioned2026-07-07T06:51:51Z
dc.date.available2026-07-07T06:51:51Z
dc.descriptionWe consider the height process of a Levy process with no negative jumps, and its associated continuous tree representation. Using Levy snake tools developed by Duquesne and Le Gall, with an underlying Poisson process, we construct a fragmentation process, which in the stable case corresponds to the self-similar fragmentation described by Miermont. For the general fragmentation process we compute a family of dislocation measures as well as the law of the size of a tagged fragment. We also give a special Markov property for the snake which is interesting in itself.
dc.identifierhttps://arxiv.org/abs/math/0511702
dc.identifierhttp://arxiv.org/abs/math/0511702
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105126
dc.subjectProbability
dc.titleFragmentation associated to Levy processes using snake
dc.typetext

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