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Large scale behaviour of the spatial 𝛬 -Fleming–Viot process

N. BerestyckiA. M. EtheridgeA. Véber — 2013

Annales de l'I.H.P. Probabilités et statistiques

We consider the spatial 𝛬 -Fleming–Viot process model ( (2010) 162–216) for frequencies of genetic types in a population living in d , in the special case in which there are just two types of individuals, labelled 0 and 1 . At time zero, everyone in a given half-space has type 1, whereas everyone in the complementary half-space has type 0 . We are concerned with patterns of frequencies of the two types at large space and time scales. We consider two cases, one in which the dynamics of...

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