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Topological entropy bounds measure-theoretic entropy. (English) Zbl 0186.09804


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[1] R. L. Adler, A. G. Konheim, and M. H. McAndrew, Topological entropy, Trans. Amer. Math. Soc. 114 (1965), 309 – 319. · Zbl 0127.13102
[2] Patrick Billingsley, Ergodic theory and information, John Wiley & Sons, Inc., New York-London-Sydney, 1965. · Zbl 0184.43301
[3] L. W. Goodwyn, Topological entropy and expansive cascades (dissertation), University of Maryland, 1968.
[4] 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. · Zbl 0088.10404
[5] V. A. Rohlin, Entropy of metric automorphism, Dokl. Akad. Nauk SSSR 124 (1959), 980 – 983 (Russian). · Zbl 0096.31405
[6] V. A. Rohlin, New progress in the theory of transformations with invariant measure., Russian Math. Surveys 15 (1960), no. 4, 1 – 22. · Zbl 0102.33001 · doi:10.1070/RM1960v015n04ABEH004095
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