The almost-sure population growth rate in branching Brownian motion with a quadratic breeding potential

J. Berestycki, E. Brunet, J. W. Harris +1

In this note we consider a branching Brownian motion (BBM) on $\mathbb{R}$ in which a particle at spatial position $y$ splits into two at rate $\beta y^2$, where $\beta >0$ is a constant. Th…