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Branching Brownian motion with selection and a free boundary problem

  • Sarah Penington (University of Bath)
A3 01 (Sophus-Lie room)

Abstract

Consider a system of N particles moving according to Brownian motions and branching at rate one. Each time a particle branches, the particle in the system furthest from the origin is killed. It turns out that we can use results about a related partial differential equation known as a free boundary problem to control the long term behaviour of this particle system for large N.

This is joint work with Julien Berestycki, Eric Brunet and James Nolen.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

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