On the Hausdorff Dimension of Rademacher Riesz Products.
C. Karankias, A. Bisbas (1990)
Monatshefte für Mathematik
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Displaying similar documents to “Dimension and Entropy of a Non-ergodic Markovian Process and its Relation to Rademacher Riesz Products.”
On the Hausdorff Dimension of Rademacher Riesz Products.
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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...