Survival of branching Brownian motion in a uniform trap field
Author
Type :
Article
Publication Status :
published
Access :
restrictedAccess
Abstract
We study a branching Brownian motion Z evolving in Rd, 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 Öz and Çağlar (2013) and solves the problem considered therein completely.
Source :
Statistics & Probability Letters
Date :
2016-03
Volume :
110
Publisher :
Elsevier
URI
http://hdl.handle.net/10679/4433http://www.sciencedirect.com/science/article/pii/S0167715215003624
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