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f-ergodicity of Markov Process by Coupling Method北大核心CSCD
作者姓名:朱志锋  张绍义
作者单位:1.湖北工程学院数学与统计学院432000;2.湖北大学数学与统计学学院430062;
基金项目:湖北省自然科学基金青年项目(2021CFB275);应用数学湖北省重点实验室(湖北大学)开放基金(HBAM202104)。
摘    要:We first study the basic coupling and obtain an equation between total variation norm and the basic coupling. Then by use this equation we investigate the ergodicity property of continuous time Markov processes in general state space. For an ergodic continuous-time Markov processes, adding condition π(f) < ∞, by using the coupling method, there exists the full absorption set, such that the continuous time Markov processes are f-ergodic on it. © 2022 Chinese Academy of Sciences. All rights reserved.

关 键 词:Markov过程  基本耦合  全变差范数  f-遍历
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