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

Electronic Communications in Probability

Volumn 15, Issue , 2010, Pages 522-533

  Aïdékon, Elie ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Branching random walk; Total progeny

Indexed keywords

EID: 78650428437     PISSN: None     EISSN: 1083589X     Source Type: Journal    
DOI: 10.1214/ECP.v15-1583     Document Type: Article

References (7)

1. Addario-Berry, L. and Broutin, N. (2010). Total progeny in killed branching random walk. To appear in Prob. Th. Rel. Fields.
2. Aldous, D. Power laws and killed branching random walks. URL http://www.stat.berkeley.edu/aldous /Research /OP/brw.html.
3. Berestycki, J. and Berestycki, N. and Schweinsberg, J. (2010). The genealogy of branching Brownian motion with absorption. Arxiv:1001.2337.
4. Chang, J.T. (1994). Inequalities for the overshoot. Ann. Appl. Probab. 4, 1223-1233.
5. Harris, J.W and Harris, S.C. (2007). Survival probabilities for branching Brownian motion with absorption. Electron. Comm. Probab., 12, 81-92.
6. Kesten, H. (1978). Branching Brownian motion with absorption. Stoch. Proc. Appl., 7, 9-47.
7. Maillard, P (2010). The number of absorbed individuals in branching Brownian motion with a barrier. Arxiv:1004.1426