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

E.F. Aidékon

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

E.F. Aidékon

Statistiek - Stieltjes

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

9 Citaten (Scopus)

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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 $(nln2(n))-1$, which confirms the prediction of Addario-Berry and Broutin [1].

Originele taal-2	Engels
Pagina's (van-tot)	522-533
Tijdschrift	Electronic Communications in Probability
Volume	15
Status	Gepubliceerd - 2010

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Citeer dit

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AB - 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 $(nln2(n))-1$, which confirms the prediction of Addario-Berry and Broutin [1].

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EP - 533

JO - Electronic Communications in Probability

JF - Electronic Communications in Probability

SN - 1083-589X

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