| Título: | Graphical representation of some duality relations in stochastic population models |
| Autores: |
Hutzenthaler, Martin; Johann Wolfgang Goethe-Universität Frankfurt, Germany Alkemper, Roland; Johannes-Gutenberg Universität Mainz, Germany |
| Fecha: | 2007-01-01 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Duality; graphical representation; Feller's branching diffusion; branching-coalescing particle process; resampling-selection model; stochastic population dynamics 60K35 |
| Descripción: | We derive a unified stochastic picture for the duality of a resampling-selection model with a branching-coalescing particle process (cf. MR2123250) and for the self-duality of Feller's branching diffusion with logistic growth (cf. MR2308333). 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. |
| Idioma: | No aplica |
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