Kern, Julian and Wiederhold, Bastian
(2023)
*A Λ-Fleming-Viot type model with intrinsically varying population size.*
Electronic Journal of Probability
.
(Submitted)

Full text not available from this repository.

## Abstract

We propose an extension of the classical Λ-Fleming-Viot model to intrinsically varying population sizes. During events, instead of replacing a proportion of the population, a random mass dies and a, possibly different, random mass of new individuals is added. The model can also incorporate a drift term, representing infinitesimally small, but frequent events. We investigate elementary properties of the model, analyse its relation to the Λ-Fleming-Viot model and describe a duality relationship. Through the lookdown framework, we provide a forward-in-time analysis of fixation and coming down from infinity. Furthermore, we present a new duality argument allowing one to deduce well-posedness of the measure-valued process without the necessity of proving uniqueness of the associated lookdown martingale problem.

Item Type: | Article |
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Subjects: | Mathematical and Computer Sciences Mathematical and Computer Sciences > Mathematics Mathematical and Computer Sciences > Mathematics > Applied Mathematics |

Divisions: | Department of Mathematics and Computer Science > Institute of Mathematics |

ID Code: | 3037 |

Deposited By: | Jana Jerosch |

Deposited On: | 17 Jan 2024 12:19 |

Last Modified: | 17 Jan 2024 12:19 |

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