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 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.
18 February 2019, 12:00 (Monday, 6th week, Hilary 2019)
Mathematical Institute, Woodstock Road OX2 6GG
Sarah Penington (University of Bath)
Department of Statistics