Brownian bees in the infinite swarm limit

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. The large $N$ and large time behaviour of the system is related to solutions of a novel non-linear free boundary partial differential equation. Based on joint work with Julien Berestycki, Éric Brunet and Jim Nolen.

mathematical physicsprobability

Audience: researchers in the topic

Probability and the City Seminar

Series comments: The Probability and the City Seminar is organized jointly by the probability groups of Columbia University and New York University.

Video recordings of talks are posted online at www.youtube.com/channel/UC0CXjG-ZSIZHy0S40Px2FEQ .