On ergodicity of general Markov chains

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• 作者：Vytautas Kazakevi?ius (1)
  
• 关键词：Markov chains ; invariant functions ; ergodic probabilities ; ergodic decomposition
• 刊名：Lithuanian Mathematical Journal
• 出版年：2014
• 出版时间：October 2014
• 年：2014
• 卷：54
• 期：4
• 页码：429-446
• 全文大小：261 KB
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  9. D. Revuz, / Markov Chains, North Holland, Amsterdam, New York, Oxford, 1984.
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• 作者单位：Vytautas Kazakevi?ius (1)
  
  1. Faculty of Mathematics and Informatics, Vilnius University, Naugarduko str. 24, LT-03225, Vilnius, Lithuania
  
• ISSN：1573-8825

文摘

We consider ergodic properties of general Markov chains evolving on a separable measurable space E (with no topological or irreducibility assumptions) and extend some known results in the case of a standard measurable space E to this general framework. We also give simpler proofs of some known results.