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On ergodicity of general Markov chains

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Abstract

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.

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Authors and Affiliations

  1. Faculty of Mathematics and Informatics, Vilnius University, Naugarduko str. 24, LT-03225, Vilnius, Lithuania

    Vytautas Kazakevičius

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  1. Vytautas Kazakevičius
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Correspondence to Vytautas Kazakevičius.

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Kazakevičius, V. On ergodicity of general Markov chains. Lith Math J 54, 429–446 (2014). https://doi.org/10.1007/s10986-014-9254-8

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  • DOI: https://doi.org/10.1007/s10986-014-9254-8

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