Regenerative real trees

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dc.creatorWeill, Mathilde
dc.date2005-11-07
dc.date.accessioned2026-07-07T06:50:54Z
dc.date.available2026-07-07T06:50:54Z
dc.descriptionIn this work, we give a description of all sigma-finite measures on the space of rooted compact real trees which satisfy a certain regenerative property. We show that any infinite measure which satisfies the regenerative property is the "law" of a Levy tree, that is, the "law" of a tree-valued random variable that describes the genealogy of a population evolving according to a continuous-state branching process. On the other hand, we prove that a probability measure with the regenerative property must be the law of the genealogical tree associated with a continuous-time discrete-state branching process.
dc.identifierhttps://arxiv.org/abs/math/0511172
dc.identifierhttp://arxiv.org/abs/math/0511172
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104815
dc.subjectProbability
dc.subject60J80
dc.titleRegenerative real trees
dc.typetext

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