Feller property and infinitesimal generator of the exploration process

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dc.creatorAbraham, Romain
dc.creatorDelmas, Jean-Francois
dc.date2005-12-09
dc.date.accessioned2026-07-07T08:04:24Z
dc.date.available2026-07-07T08:04:24Z
dc.descriptionWe consider the exploration process associated to the continuous random tree (CRT) built using a Levy process with no negative jumps. This process has been studied by Duquesne, Le Gall and Le Jan. This measure-valued Markov process is a useful tool to study CRT as well as super-Brownian motion with general branching mechanism. In this paper we prove this process is Feller, and we compute its infinitesimal generator on exponential functionals and give the corresponding martingale.
dc.identifierhttps://arxiv.org/abs/math/0512195
dc.identifierhttp://arxiv.org/abs/math/0512195
dc.identifierJournal of Theoretical Probability 20 (2007) 355-370
dc.identifierdoi:10.1007/s10959-007-0082-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129948
dc.subjectProbability
dc.subject60J35, 60J80, 60G57
dc.titleFeller property and infinitesimal generator of the exploration process
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