On continuous state branching processes: conditioning and self-similarity

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dc.creatorKyprianou, A. E.
dc.creatorPardo, J. C.
dc.date2007-12-06
dc.date.accessioned2026-07-07T12:09:37Z
dc.date.available2026-07-07T12:09:37Z
dc.descriptionIn this paper, for $α\in (1, 2}$ we show that the $α$-stable continuous-state branching process and the associated process conditioned never to become extinct are positive self-similar Markov processes. Understanding the interaction of the Lamperti transformation for continuous-state branching processes and the Lamperti transformation for positive self-similar Markov processes permits accessto a number of explicit results concerning the paths of stable-continuous branching processes and its conditioned version.
dc.identifierhttps://arxiv.org/abs/0712.0987
dc.identifierhttp://arxiv.org/abs/0712.0987
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209687
dc.subjectProbability
dc.subject60G18, 60G51, 60B52
dc.titleOn continuous state branching processes: conditioning and self-similarity
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