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Titlebook: Ergodic Theory and Related Topics III; Proceedings of the I Ulrich Krengel,Karin Richter,Volker Warstat Conference proceedings 1992 Springe

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楼主: 伤害
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The Abramov-Rokhlin formula,The Abramov-Rokhlin formula states that the entropy of a measure-preserving transformation . equals the sum of the entropy of a factor . of . and the entropy of . relative to .. We prove this formula for non-invertible transformations and apply it to skew-product transformations.
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Upper and lower class results for subsequences of the Champernowne number,We determine upper and lower bounds for partial sums of subsequences of the dyadic Champernowne sequence, which are obtained from completely deterministic selection functions. This complements results by Shiokawa and Uchiyama.
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Ergodic theorem along a return time sequence,We prove that return time sequences for dynamical systems which are abelian extensions of translations, are universaly good for the pointwise ergodic theorem. This can be used to prove the pointwise ergodic theorem along Morse sequence. This last result can also be proved by means of estimations of trigonometric sums.
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978-3-540-55444-8Springer-Verlag Berlin Heidelberg 1992
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