Skip to main content

The estimation from above for the topological entropy of a diffeomorphism

Part of the Lecture Notes in Mathematics book series (LNM,volume 819)

Keywords

  • Tangent Space
  • Topological Entropy
  • Compact Riemannian Manifold
  • Conditional Entropy
  • Isometric Operator

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.95
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S. Ito, An estimate from above for an entropy and the topological entropy of a C1-diffeomorphism, Proc. Japan Acad. 46:3(1970), 226–230.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. A. G. Kušnirenko, An estimate from above for the entropy of classical dynamical system, Soviet Mathematics, Doklady, 161, N1, (1965), 360.

    Google Scholar 

  3. Ya. B. Pesin, Lyapunov characteristic exponents and smooth ergodic theory, Russian Math. Surveys, 32, N4, 1977.

    Google Scholar 

  4. E. I. Dinaburg, On the relations among various entropy characteristics of dynamical systems, Math. USSR-Izvestija, 5, N2, 1971, 337–378.

    CrossRef  ADS  MATH  Google Scholar 

  5. M. Misiurewicz, Topological conditional entropy, Studia Mathematica, LV(1976), 175–200.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1980 Springer-Verlag

About this paper

Cite this paper

Katok, S.R. (1980). The estimation from above for the topological entropy of a diffeomorphism. In: Nitecki, Z., Robinson, C. (eds) Global Theory of Dynamical Systems. Lecture Notes in Mathematics, vol 819. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086992

Download citation

  • DOI: https://doi.org/10.1007/BFb0086992

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10236-6

  • Online ISBN: 978-3-540-38312-3

  • eBook Packages: Springer Book Archive