Spine decompositions and limit theorems for a class of critical superprocesses
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Publication:2304858
DOI10.1007/S10440-019-00243-7zbMATH Open1434.60250arXiv1711.09188OpenAlexW2963483320WikidataQ128427348 ScholiaQ128427348MaRDI QIDQ2304858
Author name not available (Why is that?)
Publication date: 13 March 2020
Published in: (Search for Journal in Brave)
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's exponential limit law for critical superprocesses.
Full work available at URL: https://arxiv.org/abs/1711.09188
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