Criteria on ergodicity and strong ergodicity of single death processes

作     者：Yuhui ZHANG 

作者机构：School of Mathematical Sciences Beijing Normal University Laboratory of Mathematicsand Complex Systems Ministry of Education Beijing 100875 China 

出 版 物：《Frontiers of Mathematics in China》 (中国高等学校学术文摘·数学（英文）)

年 卷 期：2018年第13卷第5期

页      面：1215-1243页

核心收录：

学科分类：082803[工学-农业生物环境与能源工程] 08[工学] 0828[工学-农业工程] 0906[农学-兽医学] 09[农学] 0804[工学-仪器科学与技术] 

基　　金：国家自然科学基金 

主　　题：Single death process ergodicity strong ergodicity recurrence moments of hitting times 

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.