The Dobrushin ergodicity coefficient and the ergodicity of noncommutative Markov chains

Mukhamedov, Farrukh (2013) The Dobrushin ergodicity coefficient and the ergodicity of noncommutative Markov chains. Journal of Mathematical Analysis and Applications, 408 (1). pp. 364-373. ISSN 0022-247X

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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∗.

Item Type:	Article (Journal)
Additional Information:	5537/31766
Uncontrolled Keywords:	Coefficient of ergodicity; Nonhomogeneous Markov chain; Von Neumann algebra; Weak ergodicity
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr. Farrukh Mukhamedov
Date Deposited:	04 Sep 2013 02:12
Last Modified:	04 Sep 2013 02:12
URI:	http://irep.iium.edu.my/id/eprint/31766

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