Orateur
Jacob Mercer
(University of Oxford, UK)
Description
We introduce a generalisation of the N-branching Brownian motion process, which is a toy model for the effect of survival of the fittest in a population. We find the hydrodynamic limit of the process and show that it is described by a F-KPP type reaction diffusion equation. We discuss the asymptotic speed of the particle system, the travelling waves of the hydrodynamic limit, and when a so-called `weak selection principle' holds.