Independence and additive entropy
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- by Kenneth R. Berg PDF
- Proc. Amer. Math. Soc. 51 (1975), 366-370 Request permission
Abstract:
The relationship between additive entropy and independence is worked out for ergodic transformations on a Lebesgue space. Examples are given on the behavior of the deterministic part of an ergodic transformation.References
- Kenneth R. Berg, Convolution of invariant measures, maximal entropy, Math. Systems Theory 3 (1969), 146–150. MR 248330, DOI 10.1007/BF01746521
- Harry Furstenberg, Disjointness in ergodic theory, minimal sets, and a problem in Diophantine approximation, Math. Systems Theory 1 (1967), 1–49. MR 213508, DOI 10.1007/BF01692494
- Wolfgang Krieger, On entropy and generators of measure-preserving transformations, Trans. Amer. Math. Soc. 149 (1970), 453–464. MR 259068, DOI 10.1090/S0002-9947-1970-0259068-3
- William Parry, Entropy and generators in ergodic theory, W. A. Benjamin, Inc., New York-Amsterdam, 1969. MR 0262464
- William Parry, Class properties of dynamical systems, Recent advances in topological dynamics (Proc. Conf. Topological Dynamics, Yale Univ., New Haven, Conn., 1972; in honor of Gustav Arnold Hedlund), Lecture Notes in Math., Vol. 318, Springer, Berlin, 1973, pp. 218–225. MR 0390174
- M. S. Pinsker, Dynamical systems with completely positive or zero entropy, Soviet Math. Dokl. 1 (1960), 937–938. MR 0152628
- V. A. Rohlin and Ja. G. Sinaĭ, The structure and properties of invariant measurable partitions, Dokl. Akad. Nauk SSSR 141 (1961), 1038–1041 (Russian). MR 0152629
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 51 (1975), 366-370
- MSC: Primary 28A65
- DOI: https://doi.org/10.1090/S0002-9939-1975-0427586-0
- MathSciNet review: 0427586