Substochastic semigroups and densities of piecewise deterministic Markov processes

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dc.creatorTyran-Kaminska, Marta
dc.date2008-04-30
dc.date2009-05-14
dc.date.accessioned2026-07-07T13:14:15Z
dc.date.available2026-07-07T13:14:15Z
dc.descriptionNecessary and sufficient conditions are given for a substochastic semigroup on $L^1$ obtained through the Kato--Voigt perturbation theorem to be either stochastic or strongly stable. We show how such semigroups are related to piecewise deterministic Markov process, provide a probabilistic interpretation of our results, and apply them to fragmentation equations.
dc.description26 pages; corrected typos
dc.identifierhttps://arxiv.org/abs/0804.4889
dc.identifierhttp://arxiv.org/abs/0804.4889
dc.identifierJournal of Mathematical Analysis and Applications 357 (2009), pp. 385-402
dc.identifierdoi:10.1016/j.jmaa.2009.04.033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230152
dc.subjectFunctional Analysis
dc.subjectProbability
dc.subject47D06 (Primary) 60J25, 60J35, 60J75 (Secondary)
dc.titleSubstochastic semigroups and densities of piecewise deterministic Markov processes
dc.typetext

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