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Quasi-Flows II Additive Functionals and TQ-Systems
Published online by Cambridge University Press: 22 January 2016
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We have given in [3] the definition of the quasi-flow and discussed the representation and the time-change of the quasi-flow. Further we have defined the TQ-system and studied some properties of them using the time-change and the representation of the quasi-flow. These properties are very useful to study the ergodicity, the entropy and increasing partitions of the automorphism. We are now going to extend the definition of the TQ-system and to study the similar problems as the above.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1970
References
[1]
Ambrose, W. and Kakutani, S.
Structure and continuity of measurable flow. Duke Math. J. 9(1942), 25–42.Google Scholar
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Representation of quasi-flows with multi-dimensional parameter. Proceedings of the International Conference on Functional Analysis and Related Topics, 1969, 405–413.Google Scholar
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On the fundamental ideas of measure theory, Amer. Math. Soc. Transl. (I)
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Sinai, Ya. G.
Dynamical systems with countably-multiple Lebesgue spectrum. II, Amer. Math. Math. Soc. Transl. (2)
68(1968), 34–68.Google Scholar
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