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On the classification of one-sided Markov chains

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Abstract

In this paper we generalise a theorem of R. F. Williams about the topological classification of one-sided finite state stationary Markov chains. Specifically, we give a classification up to block-isomorphism, i.e. a topological conjugacy between one-sided Markov chains which preserves the Markov measures.

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References

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Authors and Affiliations

  1. Mathematics Department, University of Nairobi, P.O. Box 30197, Nairobi, Kenya

    R. Cowen

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  1. R. Cowen
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Cowen, R. On the classification of one-sided Markov chains. Israel J. Math. 67, 243–250 (1989). https://doi.org/10.1007/BF02937298

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  • DOI: https://doi.org/10.1007/BF02937298

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