Regularity of measure theoretic entropy for geodesic flows of negative curvature: I.
Gerhard Knieper, Howard Weiss (1989)
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Gerhard Knieper, Howard Weiss (1989)
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A. Freire, R. Mane (1982)
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Su-shing Chen (1981)
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Bulletin of the Polish Academy of Sciences. Mathematics
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We introduce the concept of an extreme relation for a topological flow as an analogue of the extreme measurable partition for a measure-preserving transformation considered by Rokhlin and Sinai, and we show that every topological flow has such a relation for any invariant measure. From this result, it follows, among other things, that any deterministic flow has zero topological entropy and any flow which is a K-system with respect to an invariant measure with full support is a topological...
P. Sarnak, R. Osserman (1984)
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Koichi Yano (1980)
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Ursula Hammenstädt (1995)
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J. Bolton (1979)
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Bulletin de la Société Mathématique de France
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Discrete Dynamics in Nature and Society
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