Interacting Fleming-Viot processes (Q807458)
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scientific article; zbMATH DE number 4207826
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Interacting Fleming-Viot processes |
scientific article; zbMATH DE number 4207826 |
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Interacting Fleming-Viot processes (English)
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1990
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An extension of the Ohta-Kimura stepwise-mutation model is considered as a model for the evolution of certain characteristics of individuals belonging to several interacting populations with slightly overlapping territories. When the population size n increases to infinity, evolution is speeded up by factor of \(n^ 2\), the incremental effects of a change in each population's distribution of characteristics are scaled down by a factor \(n^{-1/2}\) and the level of interaction is decreased by a factor \(n^{-1}\), measure-valued limits (interacting Fleming-Viot processes) are obtained and characterized as unique solutions to certain martingale problems using the method of duality. Finally, a scaling theorem for these processes is proven.
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measure-valued process
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extension of the Ohta-Kimura stepwise-mutation model
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interacting populations
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overlapping territories
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measure-valued limits
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interacting Fleming-Viot processes
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martingale problems
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method of duality
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scaling theorem
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0.9093939
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0.8845655
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0.88443357
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