Graphical Representation of some Duality Relations in Stochastic Population Models

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dc.creatorAlkemper, Roland
dc.creatorHutzenthaler, Martin
dc.date2007-06-26
dc.date.accessioned2026-07-07T13:03:59Z
dc.date.available2026-07-07T13:03:59Z
dc.descriptionWe derive a unified stochastic picture for the duality of a resampling-selection model with a branching-coalescing particle process (cf. http://www.ams.org/mathscinet-getitem?mr=MR2123250) and for the self-duality of Feller's branching diffusion with logistic growth (cf. math/0509612). The two dual processes are approximated by particle processes which are forward and backward processes in a graphical representation. We identify duality relations between the basic building blocks of the particle processes which lead to the two dualities mentioned above.
dc.description17 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0706.3852
dc.identifierhttp://arxiv.org/abs/0706.3852
dc.identifierElectron. Comm. Probab. 12 (2007), 206--220
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227002
dc.subjectProbability
dc.subject60K35
dc.titleGraphical Representation of some Duality Relations in Stochastic Population Models
dc.typetext

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