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An Elementary Proof of Abramov’s Result on the Entropy of a Flow1)
Published online by Cambridge University Press: 22 January 2016
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Let T be an automorphism on a probability space (Ω, B, P). Given a finite partition α of Ω, into disjoint measurable sets A1, A2, · · ·, An, its entropy is
(D.1)
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- Research Article
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1971
Footnotes
1)
This paper is chiefly due to Pinsker’s work [1].
References
[1]
Pinsker, M.S., Information and information stable of random variables and processes, Academy of Science SSSR, 1960.Google Scholar
[2]
Abramov, L.M., On the entropy of a flow, Dok. Akad. Nauk. SSSR. Vol. 128 (1959) 873–875.Google Scholar
[4]
Maruyama, G., Transformations of flow, J. Math. Soc. Japan Vol. 18 (1966) 303–330.Google Scholar
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