The Dobrushin ergodicity coefficient and the ergodicity of noncommutative Markov chains

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20 Citations (Scopus)

Abstract

In this paper, we study the notion of the Dobrushin ergodicity coefficient for positive contractions defined on the predual M* of von Neumann algebra M. Moreover, in terms of this coefficient, we prove ergodic-type theorems for nonhomogeneous Markov chains on M*.

Original languageEnglish
Pages (from-to)364-373
Number of pages10
JournalJournal of Mathematical Analysis and Applications
Volume408
Issue number1
DOIs
Publication statusPublished - Dec 1 2013
Externally publishedYes

Keywords

  • Coefficient of ergodicity
  • Nonhomogeneous Markov chain
  • Von Neumann algebra
  • Weak ergodicity

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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