Mathematics – Probability
Scientific paper
2009-12-07
Mathematics
Probability
7 pages
Scientific paper
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. This is a critical breeding rate for BBM in the sense that the expected population size blows up in finite time while the population size remains finite, almost surely, for all time. We find an asymptotic for the almost sure rate of growth of the population.
Berestycki Julien
Brunet É.
Harris Jeff. W.
Harris Simon C.
No associations
LandOfFree
The almost-sure population growth rate in branching Brownian motion with a quadratic breeding potential does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The almost-sure population growth rate in branching Brownian motion with a quadratic breeding potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The almost-sure population growth rate in branching Brownian motion with a quadratic breeding potential will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-385147