On L1-weak ergodicity of markov processes

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In the present paper we investigate the L1-weak ergodicity of nonhomogeneous discrete Markov processes with general state spaces. Note that the L1-weak ergodicity is weaker than well-known weak ergodicity. It was known a necessary and sufficient condition for such processes to satisfy the weak ergodicity. In this paper we provide a necessary and sufficient condition for nonhomogeneous discrete Markov processes to satisfy the L1-weak ergodicity. Moreover, as an application of the main result, we provide more concrete examples of Markov processes which satisfy the L1-weak ergodicity.

Original languageEnglish
Pages (from-to)64-69
Number of pages6
JournalMiddle East Journal of Scientific Research
Issue numberSPLISSUE
Publication statusPublished - 2013
Externally publishedYes


  • Nonhomogeneous markov process
  • The doeblin's condition
  • Weak ergodicity

ASJC Scopus subject areas

  • General


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