2017/08/28 by Zhen-Qing Chen, Chen, Zhen-Qing, Yan-Xia Ren +3
Mathematics · #FOS: Mathematics #Geometry and complex manifolds #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Stochastic processes and statistical mechanics #math.PR
paper · pdf · doi:10.48550/arxiv.1708.08219
arxiv created 2017/08/28 · openalex publication_date 2017/08/28 · arxiv updated 2017/08/29 · openalex created_date 2017/09/15 · openalex updated_date 2026/07/28
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 Llog L criterion) for the limit of the fundamental martingale to be non-degenerate. This result complements the related results for superprocesses with purely local branching mechanisms and in Kyprianou and Palau (2016) for super Markov chains.