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- W2007194670 abstract "We show that a certain type of quasi finite, 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 quasi finite; and consider distribution asymptotics of information showing that e.g. for Boole's transformation, information is asymptotically mod-normal with square root normalization. Lastly we see that certain ergodic, probability preserving transformations with zero entropy have analogous properties and consequently entropy dimension of at most 1/2." @default.
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- W2007194670 date "2007-05-15" @default.
- W2007194670 modified "2023-09-27" @default.
- W2007194670 title "Predictability, entropy and information of infinite transformations" @default.
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