Spine decomposition for branching Markov processes and its applications
Probability
2020-11-04 v2
Abstract
In the literature, the spine decomposition of branching Markov processes was constructed under the assumption that each individual has at least one child. In this paper, we give a detailed construction of the spine decomposition of general branching Markov processes allowing the possibility of no offspring when a particle dies. Then we give some applications of the spine decomposition.
Cite
@article{arxiv.2007.12495,
title = {Spine decomposition for branching Markov processes and its applications},
author = {Yan-Xia Ren and Renming Song},
journal= {arXiv preprint arXiv:2007.12495},
year = {2020}
}
Comments
This is the English version of a paper to appear in a special issue of Sci. Sin. Math in honor of professor Jian-An Yan. arXiv admin note: text overlap with arXiv:1009.4481