一般状态空间连续时间 Markov 过程的 Harris 常返

数学物理学报 ›› 2025, Vol. 45 ›› Issue (4): 1245-1254.

一般状态空间连续时间 Markov 过程的 Harris 常返

朱志锋(),周俊超(),黄弘^*

湖北工程学院数学与统计学院湖北孝感 432000

收稿日期:2024-11-12 修回日期:2025-03-01 出版日期:2025-08-26 发布日期:2025-08-01
通讯作者: ^*
作者简介:E-mail: 376574200@qq.com;|2369844949@qq.com
基金资助:
国家自然科学基金(11601138);湖北工程学院教研(JY2025031);湖北工程学院教研(202230)

Harris Recurrence of Continuous-Time Markov Process on General State Space

Zhu Zhifeng(),Zhou Junchao(),Huang Hong^*

School of Mathematics and Statistics, Hubei Engineering University, Hubei Xiaogan 432000

Received:2024-11-12 Revised:2025-03-01 Online:2025-08-26 Published:2025-08-01
Supported by:
NSFC(11601138);Teaching and Research Project of Hubei Engineering University(JY2025031);Teaching and Research Project of Hubei Engineering University(202230)

摘要/Abstract

摘要：

该文先研究一般状态空间连续时间 Markov 过程的 Harris 常返, 然后研究了 Harris 分解的一些问题, 最后研究了 Harris 常返的判定方法.

关键词: Markov 过程, 常返性, Harris 常返, Harris 分解

Abstract:

In this paper, we first study the Harris recurrence of the continuous time Markov process on general state space, then we study some problems about the decomposition of Harris, and finally we study the method to determine the Harris recurrence.

Key words: Markov chains, recurrence, Harris recurrence, Harris decomposition

中图分类号:

O211.4

朱志锋, 周俊超, 黄弘. 一般状态空间连续时间 Markov 过程的 Harris 常返[J]. 数学物理学报, 2025, 45(4): 1245-1254.

Zhu Zhifeng, Zhou Junchao, Huang Hong. Harris Recurrence of Continuous-Time Markov Process on General State Space[J]. Acta mathematica scientia,Series A, 2025, 45(4): 1245-1254.

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