Abstract
We consider a branching Brownian motion in which binary fission takes place only when particles are at the origin at a rate β>0 on the local time scale. We obtain results regarding the asymptotic behaviour of the number of particles above λt at time t, for λ>0. As a corollary, we establish the almost sure asymptotic speed of the rightmost particle. We also prove a Strong Law of Large Numbers for this catalytic branching Brownian motion.
Original language | English |
---|---|
Pages (from-to) | 201-228 |
Number of pages | 28 |
Journal | Acta Applicandae Mathematicae |
Volume | 134 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Nov 2014 |
Externally published | Yes |
Keywords
- Brownian motion
- Catalytic branching
Fingerprint
Dive into the research topics of 'Branching Brownian Motion with Catalytic Branching at the Origin'. Together they form a unique fingerprint.Cite this
Bocharov, S., & Harris, S. C. (2014). Branching Brownian Motion with Catalytic Branching at the Origin. Acta Applicandae Mathematicae, 134(1), 201-228. https://doi.org/10.1007/s10440-014-9879-y