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On the Coalescence Time Distribution in Multi-type Supercritical Branching Processes
Janique Krasnowska, Paul Jenkins, Adam Johansen
Consider a population evolving as a discrete-time supercritical multi-type Galton--Watson process. Suppose we run the process for generations, then sample individuals unifo…
Genealogical processes of sequential Monte Carlo methods and other non-neutral population models under rapid mutation
Jere Koskela, Paul A. Jenkins, Adam M. Johansen +1
We show that genealogical trees arising from a broad class of non-neutral models of population evolution converge to the Kingman coalescent under a suitable rescaling of time. As w…
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…