The Dobrushin ergodicity coefficient and the ergodicity of noncommutative Markov chains

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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*. © 2013 Elsevier Ltd.

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Mukhamedov, F. (2013). The Dobrushin ergodicity coefficient and the ergodicity of noncommutative Markov chains. Journal of Mathematical Analysis and Applications, 408(1), 364–373. https://doi.org/10.1016/j.jmaa.2013.06.022

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