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The extremal process of two-speed branching Brownian motion


 
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1. Title Title of document The extremal process of two-speed branching Brownian motion
 
2. Creator Author's name, affiliation, country Anton Bovier; Bonn University; Germany
 
2. Creator Author's name, affiliation, country Lisa Bärbel Hartung; Bonn University; Germany
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) branching Brownian motion, extremal processes, extreme values, F-KPP equation, cluster point processes
 
3. Subject Subject classification 60J80, 60G70, 82B44
 
4. Description 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.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) German Research Foundation
 
7. Date (YYYY-MM-DD) 2014-02-03
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/2982
 
10. Identifier Digital Object Identifier 10.1214/EJP.v19-2982
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 19
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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