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math.PR2023
Excursion theory for the Wright-Fisher diffusion
Paul A. Jenkins, Jere Koskela, Victor M. Rivero +3
In this work, we develop excursion theory for the Wright--Fisher diffusion with mutation. Our construction is intermediate between the classical excursion theory where all excursio…
math.PR2023
Bernoulli factories and duality in Wright-Fisher and Allen-Cahn models of population genetics
Jere Koskela, Krzysztof Łatuszyński, Dario Spanò
Mathematical models of genetic evolution often come in pairs, connected by a so-called duality relation. The most seminal example are the Wright-Fisher diffusion and the Kingman co…