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Tail asymptotics for the total progeny of the critical killed branching random walk


 
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1. Title Title of document Tail asymptotics for the total progeny of the critical killed branching random walk
 
2. Creator Author's name, affiliation, country Elie E.F. Aidekon; Technische Universiteit Eindhoven
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Branching random walk, total progeny.
 
3. Subject Subject classification 60J80
 
4. Description Abstract We consider a branching random walk on $R$ with a killing barrier at zero. At criticality, the process becomes eventually extinct, and the total progeny $Z$ is therefore finite. We show that $P(Z>n)$ is of order  $(n\ln^2(n))^{-1}$, which confirms the prediction of Addario-Berry and Broutin [1].
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2010-11-02
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1583
 
10. Identifier Digital Object Identifier 10.1214/ECP.v15-1583
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 15
 
12. Language English=en
 
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