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非退化的Markov-Feller算子的不变概率测度的惟一性

郭新伟   

  1. 山东大学威海分校 应用数学和统计系, 山东 威海 264209
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
  • 通讯作者: 郭新伟

Uniqueness of an invariant probability for non-degenerate Markov-Feller operators

GUO Xin-wei   

  1. Department of Applying Mathematics and Statistics, Shandong University at Weihai, Weihai 264209, Shandong, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
  • Contact: GUO Xin-wei

摘要: 研究了局部凸的可分度量空间上的非退化的Markov-Feller算子的遍历性质,给出了此类算子存在惟一不变概率的充分和必要性条件。

关键词: 非退化的Markov-Feller, 遍历性 , 不变概率测度, 转移概率函数

Abstract: The ergodicity of non-degenerate Markov-Feller operators on locally compact separable metric space was discussed and the necessary and sufficient condition for the existence of the unique invariant probability was given.

Key words: ergodicity , invariant probability measure, transition probability function, non-degenerate Markov-Feller operators

中图分类号: 

  • O177.99
[1] 常晓璇,纪培胜. Felbin模糊赋范线性空间上一类模糊有界算子[J]. 山东大学学报(理学版), 2017, 52(2): 49-54.
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