Skip to main content
SpringerLink
Log in

Topological entropy bounds measure-theoretic entropy

  • Conference paper
  • First Online:
Global Differentiable Dynamics

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

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 39.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

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

    Article  MathSciNet  MATH  Google Scholar 

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

    MATH  Google Scholar 

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

    Google Scholar 

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

    MATH  Google Scholar 

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

    MathSciNet  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Kentucky, USA

    L. Wayne Goodwyn

Authors
  1. L. Wayne Goodwyn
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

O. Hájek A. J. Lohwater R. McCann

Rights and permissions

Reprints and permissions

Copyright information

© 1971 Springer-Verlag

About this paper

Cite this paper

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

Download citation

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

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05674-4

  • Online ISBN: 978-3-540-36996-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation