Large-scale behaviour of the spatial Lambda-Fleming-Viot process

Amandine Veber (October 26, 2011)

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Abstract

The SLFV process is a population model in which individuals live in a continuous space. Each of them also carries some heritable type or allele. We shall describe the long-term behaviour of this measure-valued process and that of the corresponding genealogical process of a sample of individuals in two cases : one that mimics the evolution of nearest-neighbour voter model (but in a spatial continuum), and one that allows some individuals to send offspring at very large distances. This is a joint work with Nathana�l Berestycki and Alison Etheridge.