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Criteria on ergodicity and strong ergodicity of single death processes |
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| Authors: | Yuhui Zhang |
| Institution: | School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, China |
| 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. |
| Keywords: | Single death process ergodicity strong ergodicity recurrence moments of hitting times |
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