Moments of first hitting times for birth-death processes on trees

被引：2
|
作者：
Zhang, Yuhui [1 ]
机构：
[1] Beijing Normal Univ, Minist Educ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China
来源：
FRONTIERS OF MATHEMATICS IN CHINA | 2019年 / 14卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Birth-death process on trees; ergodicity; hitting time; returning time; STRONG ERGODICITY; SPECTRAL GAP; MARKOV;
D O I：
10.1007/s11464-019-0784-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An explicit and recursive representation is presented for moments of the first hitting times of birth-death processes on trees. Based on that, the criteria on ergodicity, strong ergodicity, and l-ergodicity of the processes as well as a necessary condition for exponential ergodicity are obtained.
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页码：833 / 854
页数：22
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