Criteria on ergodicity and strong ergodicity of single death processes

doi:10.1007/s11464-018-0722-z

Frontiers of Mathematics in China

2018, Vol. 13

Issue (5): 1215-1243 https://doi.org/10.1007/s11464-018-0722-z

本期目录

Criteria on ergodicity and strong ergodicity of single death processes

Yuhui ZHANG(

)

School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, China

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Abstract：

Based on an explicit representation of moments of hitting times for single death processes, the criteria on ergodicity and strong ergodicity are obtained. These results can be applied for an extended class of branching processes. Meanwhile, some sufficient and necessary conditions for recurrence and exponential ergodicity as well as extinction probability for the processes are presented.

Key words： Single death process ergodicity strong ergodicity recurrence moments of hitting times

收稿日期: 2018-06-29 出版日期: 2018-10-29

Corresponding Author(s): Yuhui ZHANG

引用本文:

. [J]. Frontiers of Mathematics in China, 2018, 13(5): 1215-1243.
Yuhui ZHANG. Criteria on ergodicity and strong ergodicity of single death processes. Front. Math. China, 2018, 13(5): 1215-1243.

链接本文:

https://academic.hep.com.cn/fmc/CN/10.1007/s11464-018-0722-z
https://academic.hep.com.cn/fmc/CN/Y2018/V13/I5/1215

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