数学物理学报 ›› 2014, Vol. 34 ›› Issue (4): 859-878.

• 论文 • 上一篇    下一篇

一般状态空间跳过程的遍历性

张水利1,2|张绍义1*   

  1. 1.湖北大学 数学与统计学院 武汉 430062|
    2.平顶山学院 |数学与信息科学学院 河南 平顶山 467000
  • 收稿日期:2013-03-22 修回日期:2014-05-03 出版日期:2014-08-25 发布日期:2014-08-25
  • 通讯作者: 张绍义,zhshaoyi@aliyun.com E-mail:zhangshuilicong@126.com; zhshaoyi@aliyun.com

he Ergodicity of Jump Processes on General State Space

 ZHANG Shui-Li1,2, ZHANG Shao-Yi1*   

  1. 1.Institute of Mathematics and Statistics of Hubei University, Wuhan 430062;
    2.Institute of Mathematics and Information Science of Pingdingshan University, Henan Pingdingshan 467000
  • Received:2013-03-22 Revised:2014-05-03 Online:2014-08-25 Published:2014-08-25
  • Contact: ZHANG Shao-Yi,zhshaoyi@aliyun.com E-mail:zhangshuilicong@126.com; zhshaoyi@aliyun.com

摘要:

该文研究了一般状态空间跳过程的遍历性, 得到了与连续时间可数状态空间马氏链类似的结果.

关键词: 跳过程, 遍历性,  q对, 细集

Abstract:

In this paper, we research the ergodicity of jump processes on general state space, the same conclusion with markov chains of countable states is obtained.

Key words: Jump processes, Ergodicity, q-pair, Petite set

中图分类号: 

  • 65F05