Branching Brownian motion with selection and a free boundary problem
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.