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Topological entropy bounds measure-theoretic entropy

Part of the Lecture Notes in Mathematics book series (LNM,volume 235)

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  • Open Cover
  • Topological Entropy
  • Minimal Cardinality
  • Finite Cover
  • Entropy Bound

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References

  1. Adler, R., Konheim, A., and McAndrew, M., Topological Entropy, Trans. Am. Math. Soc., 114 (1965), pp. 309–319.

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  2. Billingsley, P., Ergodic Theory and Information, John Wiley and Sons, Inc., New York, 1965.

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  3. Goodwyn, L. W., Topological Entropy and Expansive Cascades, dissertation, University of Maryland, 1968.

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  4. Khinchin, A. I., Mathematical Foundations of Information Theory, Dover Publications, Inc., New York, 1957.

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  5. Rohlin, V. A., On the Entropy of Metric Automorphisms, Dokl. Akad. Nauk SSSR 124–128 (1960), pp. 980–983.

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  6. Rohlin, V. A., New Progress in the Theory of Transformations with Invariant Measure, Russian Mathematical Surveys, 15 (1960), pp. 1–22.

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© 1971 Springer-Verlag

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Goodwyn, L.W. (1971). Topological entropy bounds measure-theoretic entropy. In: Hájek, O., Lohwater, A.J., McCann, R. (eds) Global Differentiable Dynamics. Lecture Notes in Mathematics, vol 235. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0059198

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  • DOI: https://doi.org/10.1007/BFb0059198

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05674-4

  • Online ISBN: 978-3-540-36996-7

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