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- W4384693606 abstract "We construct extensions of the pure-jump Λ-Wright–Fisher processes with frequency-dependent selection (Λ-WF with selection) with different behaviors at their boundary 1. Those processes satisfy some duality relationships with the block counting process of simple exchangeable fragmentation-coagulation processes (EFC processes). One-to-one correspondences are established between the nature of the boundaries 1 and ∞ of the processes involved. They provide new information on these two classes of processes. Sufficient conditions are provided for boundary 1 to be an exit boundary or an entrance boundary. When the coalescence measure Λ and the selection mechanism verify some regular variation properties, conditions are found in order that the extended Λ-WF process with selection makes excursions out from the boundary 1 before getting absorbed at 0. In this case, 1 is a transient regular reflecting boundary. This corresponds to a new phenomenon for the deleterious allele, which can be carried by the whole population for a set of times of zero Lebesgue measure, before vanishing in finite time almost surely." @default.
- W4384693606 created "2023-07-20" @default.
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- W4384693606 date "2023-07-18" @default.
- W4384693606 modified "2023-10-18" @default.
- W4384693606 title "On the boundary classification of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>Λ</mml:mi></mml:math>-Wright–Fisher processes with frequency-dependent selection" @default.
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- W4384693606 doi "https://doi.org/10.5802/ahl.170" @default.
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