Displaying similar documents to “Strictly ergodic patterns and entropy for interval maps.”

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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Predictability, entropy and information of infinite transformations

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...

Residuality of dynamical morphisms

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.

Minimal self-joinings and positive topological entropy II

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.

Entropy-minimality.

Coven, E.M., Smítal, J. (1993)

Acta Mathematica Universitatis Comenianae. New Series

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