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 6GG

Speaker: Sarah Penington (University of Bath)

Organising department: Department of Statistics

Part of: Probability seminar

Booking required?: Not required

Audience: Public

Editor: Christina Goldschmidt