L log L criterion for a class of multitype superdiffusions with non-local branching mechanisms  

作　　者：Zhen-Qing Chen Yan-Xia Ren Renming Song 

机构地区：[1]不详

出　　处：《中国科学：数学》2019年第8期I0001-I0004,共4页Scientia Sinica：Mathematica

摘　　要：In this paper, we provide a pathwise spine decomposition for multitype superdiffusions with non-local branching mechanisms under a martingale change of measure. As an application of this decomposition, we obtain a necessary and sufficient condition (called the L log L criterion) for the limit of the fundamental martingale to be non-degenerate. This result complements the related results obtained in Kyprianou et al.(2012), Kyprianou and Murillo-Salas (2013) and Liu et al.(2009) for superprocesses with purely local branching mechanisms and in Kyprianou and Palau (2018) for super Markov chains.

关 键 词：multitype SUPERDIFFUSION NON-LOCAL branching mechanism SWITCHED diflFusion SPINE decomposition MARTIN GALE 

分 类 号：O1[理学—数学]