On time dynamics of coagulation-fragmentation processes

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dc.creatorGranovsky, Boris L.
dc.creatorErlihson, Michael M.
dc.date2007-11-04
dc.date2008-12-08
dc.date.accessioned2026-07-07T12:09:36Z
dc.date.available2026-07-07T12:09:36Z
dc.descriptionWe establish a characterization of coagulation-fragmentation processes, such that the induced birth and death processes depicting the total number of groups at time $t\ge 0$ are time homogeneous. Based on this, we provide a characterization of mean-field Gibbs coagulation-fragmentation models, which extends the one derived by Hendriks et al. As a by- product of our results, the class of solvable models is widened and a question posed by N. Berestycki and Pitman is answered, under restriction to mean-field models.
dc.description30pages.This is the final version that contains a few important changes in exposition implied by referees remarks and questions. The paper will be published in J. of Statistical Physics
dc.identifierhttps://arxiv.org/abs/0711.0503
dc.identifierhttp://arxiv.org/abs/0711.0503
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209682
dc.subjectProbability
dc.subjectCombinatorics
dc.subject60J27, 60J35, 05A18, 82C23
dc.titleOn time dynamics of coagulation-fragmentation processes
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