Topological entropy bounds measure-theoretic entropy
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- by L. Wayne Goodwyn
- Proc. Amer. Math. Soc. 23 (1969), 679-688
- DOI: https://doi.org/10.1090/S0002-9939-1969-0247030-3
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References
- R. L. Adler, A. G. Konheim, and M. H. McAndrew, Topological entropy, Trans. Amer. Math. Soc. 114 (1965), 309–319. MR 175106, DOI 10.1090/S0002-9947-1965-0175106-9
- Patrick Billingsley, Ergodic theory and information, John Wiley & Sons, Inc., New York-London-Sydney, 1965. MR 0192027 L. W. Goodwyn, Topological entropy and expansive cascades (dissertation), University of Maryland, 1968.
- A. I. Khinchin, Mathematical foundations of information theory, Dover Publications, Inc., New York, N.Y., 1957. Translated by R. A. Silverman and M. D. Friedman. MR 0092709
- V. A. Rohlin, Entropy of metric automorphism, Dokl. Akad. Nauk SSSR 124 (1959), 980–983 (Russian). MR 0103258
- V. A. Rohlin, New progress in the theory of transformations with invariant measure. , Russian Math. Surveys 15 (1960), no. 4, 1–22. MR 0132155, DOI 10.1070/RM1960v015n04ABEH004095
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 23 (1969), 679-688
- MSC: Primary 28.70
- DOI: https://doi.org/10.1090/S0002-9939-1969-0247030-3
- MathSciNet review: 0247030