@article{EJP2982,
author = {Anton Bovier and Lisa Hartung},
title = {The extremal process of two-speed branching Brownian motion},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {19},
year = {2014},
keywords = {branching Brownian motion, extremal processes, extreme values, F-KPP equation, cluster point processes},
abstract = {We construct and describe the extremal process for variable speed branching Brownian motion, studied recently by Fang and Zeitouni, for the case of piecewise constant speeds; in fact for simplicity we concentrate on the case when the speed is $\sigma_1$ for $s\leq bt$ and $\sigma_2$ when $bt\leq s\leq t$. In the case $\sigma_1>\sigma_2$, the process is the concatenation of two BBM extremal processes, as expected. In the case $\sigma_1<\sigma_2$, a new family of cluster point processes arises, that are similar, but distinctively different from the BBM process. Our proofs follow the strategy of Arguin, Bovier, and Kistler.},
pages = {no. 18, 1-28},
issn = {1083-6489},
doi = {10.1214/EJP.v19-2982},
url = {http://ejp.ejpecp.org/article/view/2982}}