Branching random walk with trapping zones

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:128

Article

Biard, Romain¹  Mallein, Bastien²  Rabehasaina, Landy¹ 

[1] Univ Bourgogne Franche Comte, Lab Math, LMB, UFR ST, 16 Route Gray, F-25030 Besancon, France

[2] Univ Zurich, Inst Math, Winterthurerstr 190, CH-8057 Zurich, Switzerland

关键词: Branching random walk;    Absorbing set;    Galton Watson process;   

DOI  :  10.1016/j.spa.2017.09.006

来源: Elsevier

【 摘 要 】

We consider a branching random walk with values in a certain set $, where the branching mechanism is different according to whether particles (individuals) are in a certain so called trapping set A subset of $ or not. We are then interested, under different scenarios, in properties of either the transient random measure describing distribution of individuals on $ over time or its asymptotic behaviour. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free