Criteria on ergodicity and strong ergodicity of single death processes  

作　　者：Yuhui ZHANG 

机构地区：[1]School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematicsand Complex Systems, Ministry of Education, Beijing 100875, China

出　　处：《Frontiers of Mathematics in China》2018年第5期1215-1243,共29页中国高等学校学术文摘·数学（英文）

摘　　要：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.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.

关 键 词：Single death process ERGODICITY strong ergodicity RECURRENCE moments of hitting times 

分 类 号：X839.01[环境科学与工程—环境工程] S942[农业科学—水产养殖]