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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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...
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