Ergodic behavior of graph entropy.
Kieffer, John, Yang, En-hui (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Kieffer, John, Yang, En-hui (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Christian Grillenberger (1980)
Mathematische Zeitschrift
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Jon Aaronson, Kyewon Koh Park (2009)
Fundamenta Mathematicae
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We show that a certain type of quasifinite, conservative, ergodic, measure preserving transformation always has a maximal zero entropy factor, generated by predictable sets. We also construct a conservative, ergodic, measure preserving transformation which is not quasifinite; and consider distribution asymptotics of information showing that e.g. for Boole's transformation, information is asymptotically mod-normal with normalization ∝ √n. Lastly, we show that certain ergodic, probability...
Bobok, J. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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Donald S. Ornstein (1975)
Publications mathématiques et informatique de Rennes
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Annales Polonici Mathematici
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A. Al-Hussaini (1974)
Annales Polonici Mathematici
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Nishishiraho, Toshihiko (1998)
Journal of Convex Analysis
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Zbigniew S. Kowalski (1984)
Colloquium Mathematicae
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Burgess Davis (1982)
Studia Mathematica
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R. Burton, M. Keane, Jacek Serafin (2000)
Colloquium Mathematicae
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We present a unified approach to the finite generator theorem of Krieger, the homomorphism theorem of Sinai and the isomorphism theorem of Ornstein. We show that in a suitable space of measures those measures which define isomorphisms or respectively homomorphisms form residual subsets.
J. Woś (1987)
Colloquium Mathematicae
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R. Sato (1990)
Colloquium Mathematicae
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Janusz Woś (1987)
Colloquium Mathematicae
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Eli Glasner, Benjamin Weiss (1994)
Bulletin de la Société Mathématique de France
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