Graphical Representation of some Duality Relations in Stochastic Population Models

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We 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.
17 pages, 3 figures

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Probability, 60K35

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http://salesiana.dossiersoluciones.com/handle/123456789/227002

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.3852
 http://arxiv.org/abs/0706.3852
 Electron. Comm. Probab. 12 (2007), 206--220

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arXiv