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Ergodicity and extremality of AMS sources and channels

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  • Yûichirô Kakihara

Abstract

Asymptotically mean stationary (AMS) sources (probability measures) and channels are considered as an extension of stationary sources and channels. It is shown that each extreme point of the set of all AMS sources is ergodic, but not vice versa, and that each extreme point in the set of all AMS channels is ergodic, but not vice versa.

Suggested Citation

  • Yûichirô Kakihara, 2003. "Ergodicity and extremality of AMS sources and channels," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-16, January.
    • Handle: RePEc:hin:jijmms:143476
    DOI: 10.1155/S0161171203012250
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