离散时间单死链的可加泛函  

Additive Functionals for Discrete-time Single Death Chains

作　　者：田家萌 王婧 张余辉[1] Jia Meng TIAN;Jing WANG;Yu Hui ZHANG(School of Mathematical Sciences,Beijing Normal University,Laboratory of Mathematics and Compler Systems,Ministry of Education,Beijing 100875,P.R.China;School of Mathematics and Statistics,Yili Normal University,Yili 835000,P.R.China)

机构地区：[1]北京师范大学数学科学学院数学与复杂系统教育部重点实验室,北京100875 [2]伊犁师范大学数学与统计学院,伊宁835000

出　　处：《数学学报（中文版）》2022年第5期797-818,共22页Acta Mathematica Sinica：Chinese Series

基　　金：伊犁师范大学博士科研启动基金(2022YSBS001);国家重点研发计划资助(2020YFA0712900);国家自然科学基金资助项目(11771047,11871008)

摘　　要：本文给出了离散单死链的可加泛函高阶矩的显式递推表达,并研究了离散单死链的多项式遍历和中心极限定理.We get an explicit and recursive representation for high order moments of additive functionals for discrete-time single death chains.Meanwhile,the polynomial convergence and a central limit theorem are investigated.

关 键 词：单死链 可加泛函 遍历 中心极限定理 

分 类 号：O211.6[理学—概率论与数理统计]