The information flow in discrete Markov systems provides a method for determining that such a system has a unique invariant measure. Estimates are obtained for the information flow and conditions under which there is a unique invariant measure for a one-dimensional Markov system are obtained.

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Keywords Discrete markov system, Information flow, Invariant measure
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Journal Proceedings of the American Mathematical Society
Dawson, D.A. (1974). Information flow in one-dimensionalmarkov systems. Proceedings of the American Mathematical Society, 43(2), 383–392. doi:10.1090/S0002-9939-1974-0336818-8