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Branching Brownian motion, mean curvature flow and the motion of hybrid zones

Date: Tuesday, February 20, 2018 16:00 - 18:00
Speaker: Sarah Penington (University of Oxford)
Location: Big Seminar room Ground floor / Office Bldg West (I21.EG.101)
Series: Formal Sciences Seminar
Host: Laszlo Erdös
Lab building west seminar room

Abstract:

Hybrid zones are interfaces between populations which can occur when two genetically distinct groups interbreed, but hybrid offspring have a lower evolutionary fitness. We can model this situation using the spatial Lambda-Fleming-Viot process. I will discuss a result on the motion of hybrid zones and also a related probabilistic proof of a well-known PDE result connecting the Allen-Cahn equation and mean curvature flow. Joint work with Alison Etheridge and Nic Freeman.
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