@article{c54efec63d164fecbca6b71adeb2e633,
title = "Spine Decompositions and Limit Theorems for a Class of Critical Superprocesses",
abstract = "In this paper we first establish a decomposition theorem for size-biased Poisson random measures. As consequences of this decomposition theorem, we get a spine decomposition theorem and a 2-spine decomposition theorem for some critical superprocesses. Then we use these spine decomposition theorems to give probabilistic proofs of the asymptotic behavior of the survival probability and Yaglom{\textquoteright}s exponential limit law for critical superprocesses.",
keywords = "2-Spine decomposition, Asymptotic behavior of the survival probability, Critical superprocess, Martingale change of measure, Size-biased Poisson random measure, Spine decomposition, Yaglom{\textquoteright}s exponential limit law",
author = "Ren, {Yan Xia} and Renming Song and Zhenyao Sun",
note = "Publisher Copyright: {\textcopyright} 2019, Springer Nature B.V.",
year = "2020",
month = feb,
day = "1",
doi = "10.1007/s10440-019-00243-7",
language = "English",
volume = "165",
pages = "91--131",
journal = "Acta Applicandae Mathematicae",
issn = "0167-8019",
publisher = "Springer Netherlands",
number = "1",
}