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.

**Date**: 18 February 2019, 12:00 (Monday, 6th week, Hilary 2019)**Venue**: Mathematical Institute

Woodstock Road OX2 6GGSee location on maps.ox**Speaker**: Sarah Penington (University of Bath)**Organising department**: Department of Statistics**Part of**: Probability seminar**Booking required?**: Not required**Audience**: Public- Editor: Christina Goldschmidt