The Dobrushin ergodicity coefficient and the ergodicity of noncommutative Markov chains.

Authors :: Mukhamedov, Farrukh
Source :: Journal of Mathematical Analysis & Applications. Dec2013, Vol. 408 Issue 1, p364-373. 10p.
Publication Year :: 2013
Abstract: Abstract: In this paper, we study the notion of the Dobrushin ergodicity coefficient for positive contractions defined on the predual of von Neumann algebra . Moreover, in terms of this coefficient, we prove ergodic-type theorems for nonhomogeneous Markov chains on . [Copyright &y& Elsevier]

Subjects :: *COEFFICIENTS (Statistics)
*NONCOMMUTATIVE algebras
*MARKOV processes
*VON Neumann algebras
*MATHEMATICAL proofs
*MATHEMATICS theorems

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