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Survival of branching Brownian motion in a uniform trap field

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We study a branching Brownian motion Z evolving in R-d, where a uniform field of Poissonian traps are present. We consider a general offspring distribution for Z and find the asymptotic decay rate of the annealed survival probability, conditioned on non-extinction. The method of proof is to use a skeleton decomposition for the Galton-Watson process underlying Z and to show that the particles of finite line of descent do not contribute to the survival asymptotics. This work is a follow-up to Oz and Caglar (2013) and solves the problem considered therein completely.

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Elsevier Science Bv

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Statistics, Probability

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Statistics & Probability Letters

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10.1016/j.spl.2015.10.010

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