A model of migration under constraint

PIMS-MPrime Summer School in Probability

授课人:Raoul Normand

机构:Pacific Institute for the Mathematical Sciences(PIMS)

关键词: Scientific;    Mathematics;    Probability;    Random Walk;    Brownian Excursion;    Model of Population;   

加拿大|英语

【 摘 要 】

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.

【 授权许可】

CC BY-NC-ND   
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