Strictly ergodic, uniform positive entropy models
Eli Glasner, Benjamin Weiss (1994)
Bulletin de la Société Mathématique de France
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Eli Glasner, Benjamin Weiss (1994)
Bulletin de la Société Mathématique de France
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S. Janković (1989)
Matematički Vesnik
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Kieffer, John, Yang, En-hui (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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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...
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.
Christian Grillenberger (1980)
Mathematische Zeitschrift
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Karel Winkelbauer (1970)
Kybernetika
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François Blanchard, Jan Kwiatkowski (1998)
Studia Mathematica
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An effective construction of positive-entropy almost one-to-one topological extensions of the Chacón flow is given. These extensions have the property of almost minimal power joinings. For each possible value of entropy there are uncountably many pairwise non-conjugate such extensions.
Nikita Sidorov, Anatoly Vershik (1998)
Monatshefte für Mathematik
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Coven, E.M., Smítal, J. (1993)
Acta Mathematica Universitatis Comenianae. New Series
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