Hydrodynamic limits of spatially structured coalescents
- Date: 11/29/2006
Nathanaël Berestycki (University of British Columbia)
University of British Columbia
We are motivated by a question arising in population genetics, and try
to describe the effect of migratory fluxes and spatial structure on the
genealogy of a population. This leads to the study of systems particles
performing simple random walk on a given graph, and where particles
coalescence according to a certain mechanism (typically, Kingman's
coalescent) when they are on the same site. We obtain various
asymptotic results for this process, at both small and large time
scales, which are of intrerest to population genetics. We will also
discuss some related conjectures.
Joint work with Omer Angel, Alan Hammond and Vlada Limic.
Probability Seminar 2006