Branching random walk with trapping zones

Romain Biard, Bastien Mallein and Landy Rabehasaina

Stochastic Processes and their Applications, 2018, vol. 128, issue 7, 2341-2366

Abstract: We consider a branching random walk with values in a certain set S, where the branching mechanism is different according to whether particles (individuals) are in a certain so called trapping set A⊂S or not. We are then interested, under different scenarios, in properties of either the transient random measure describing distribution of individuals on S over time or its asymptotic behaviour.

Keywords: Branching random walk; Absorbing set; Galton Watson process (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1016/j.spa.2017.09.006

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