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Graphical representation of some duality relations in stochastic population models


 
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1. Title Title of document Graphical representation of some duality relations in stochastic population models
 
2. Creator Author's name, affiliation, country Martin Hutzenthaler; Johann Wolfgang Goethe-Universität Frankfurt, Germany
 
2. Creator Author's name, affiliation, country Roland Alkemper; Johannes-Gutenberg Universität Mainz, Germany
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Duality; graphical representation; Feller's branching diffusion; branching-coalescing particle process; resampling-selection model; stochastic population dynamics
 
3. Subject Subject classification 60K35
 
4. Description Abstract 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.
 
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7. Date (YYYY-MM-DD) 2007-07-02
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1283
 
10. Identifier Digital Object Identifier 10.1214/ECP.v12-1283
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 12
 
12. Language English=en
 
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