A model of migration under constraint

Raoul Normand
Mon, Jun 18, 2012
PIMS, University of British Columbia
PIMS-MPrime Summer School in Probability
We will present a random model of population, where individuals live on several islands, and will move from one to another when they run out of resources. Our main goal is to study how the population spreads on the different islands, when the number of initial individuals and available resources tend to infinity. Finding this limit relies on asymptotics for critical random walks and (not so classical) functionals of the Brownian excursion.

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