$L\log L$ criterion for a class of multitype superdiffusions with non-local branching mechanisms
Probability
2017-08-29 v1
Abstract
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 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.
Keywords
Cite
@article{arxiv.1708.08219,
title = {$L\log L$ criterion for a class of multitype superdiffusions with non-local branching mechanisms},
author = {Zhen-Qing Chen and Yan-Xia Ren and Renming Song},
journal= {arXiv preprint arXiv:1708.08219},
year = {2017}
}