The Dobrushin ergodicity coefficient and the ergodicity of noncommutative Markov chains

Farrukh Mukhamedov

doi:10.1016/j.jmaa.2013.06.022

The Dobrushin ergodicity coefficient and the ergodicity of noncommutative Markov chains

Farrukh Mukhamedov

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	364-373
Number of pages	10
Journal	Journal of Mathematical Analysis and Applications
Volume	408
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2013.06.022
Publication status	Published - Dec 1 2013
Externally published	Yes

Keywords

Coefficient of ergodicity
Nonhomogeneous Markov chain
Von Neumann algebra
Weak ergodicity

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2013.06.022

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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*.",

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KW - Nonhomogeneous Markov chain

KW - Von Neumann algebra

KW - Weak ergodicity

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The Dobrushin ergodicity coefficient and the ergodicity of noncommutative Markov chains

Abstract

Keywords

ASJC Scopus subject areas

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