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Distinguished exchangeable coalescents and generalized Fleming-Viot processes with immigration

Distinguished exchangeable coalescents and generalized Fleming-Viot processes with immigration

Coalescents with multiple collisions (also called Λ-coalescents or simple exchangeable coalescents) are used as models of genealogies. We study a new class of Markovian coalescent processes connected to a population model with immigration. Consider an infinite population with immigration labelled at each generation by N := {1, 2, …}. Some …