Rescaling the spatial Lambda-Fleming-Viot process and convergence to super-Brownian motion
| Autor: | Edwin Perkins, J. Theodore Cox |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
super-Brownian motion
Statistics and Probability Fleming–Viot process Work (thermodynamics) spatial lambda-Fleming-Viot process 010102 general mathematics Dynamics (mechanics) Motion (geometry) Extension (predicate logic) 92D25 Lambda 01 natural sciences 010104 statistics & probability 60K35 Convergence (routing) 60J68 Statistical physics Limit (mathematics) 0101 mathematics Statistics Probability and Uncertainty Mathematics |
| Zdroj: | Electron. J. Probab. |
| ISSN: | 1083-6489 |
| Popis: | We show that a space-time rescaling of the spatial Lamba-Fleming-Viot process of Barton and Etheridge converges to super-Brownian motion. This can be viewed as an extension of a result of Chetwynd-Diggle and Etheridge [5]. In that work the scaled impact factors (which govern the event based dynamics) vanish in the limit, here we drop that requirement. The analysis is particularly interesting in the biologically relevant two-dimensional case. |
| Databáze: | OpenAIRE |
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