General selection models: Bernstein duality and minimal ancestral structures

Probability Seminar
Sep 18, 2019 3:10pm to 4:00pm
1011 Evans Hall
Happening As Scheduled
We construct a sequence of Moran models that converges for large populations under suitable conditions to the $\Lambda$-Wright-Fisher process with a drift that is vanishing at the boundaries. The genealogical structure inherent in the graphical representation of the finite population models leads in the large population limit to a generalisation of the ancestral selection graph of Krone and...
Sebastian Hummel, Bielefeld University