Survival of branching random walks with absorption |
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| Authors: | Elie Aïdékon Bruno Jaffuel |
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| Institution: | a Faculteit W&I, Technische Universiteit Eindhoven, P.O. Box 513, 5600 MB Eindhoven, The Netherlandsb LPMA, Université Paris VI, 4 place Jussieu, F-75252 Paris Cedex 05, France |
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| Abstract: | We consider a branching random walk on R starting from x≥0 and with a killing barrier at 0. At each step, particles give birth to b children, which move independently. Particles that enter the negative half-line are killed. In the case of almost sure extinction, we find asymptotics for the survival probability at time n, when n tends to infinity. |
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| Keywords: | 60J80 |
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