Skip to main content

General thermodynamic formalism

  • 693 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 470)

Keywords

  • Open Cover
  • Topological Entropy
  • Topological Pressure
  • Unique Equilibrium State
  • Finite Open Cover

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   74.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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. R.L. Adler, A.G. Konheim and M.H. McAndrew, Topological entropy, Trans. A.M.S. 114 (1965), 309–319.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. P. Billingsley, Ergodic Theory and Information, Wiley (1965).

    Google Scholar 

  3. R. Bowen, Entropy-expansive maps, Trans. A.M.S. 164 (1972), 323–332.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. -, Topological entropy for noncompact sets, Trans. A.M.S. 184 (1973), 125–136.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. -, Some systems with unique equilibrium states, Math. Systems Theory, 8(1974), no. 3, 193–202.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. E.I. Dinaburg, On the relations among various entropy characteristics of dynamical systems, Math USSR Izvestia 5 (1971), 337–378.

    CrossRef  MATH  Google Scholar 

  7. E. Franco-Sanchez, Flows with unique equilibrium states, Amer. J. Math.

    Google Scholar 

  8. T. Goodman, Relating topological entropy and measure entropy, Bull. London Math. Soc. 3 (1971), 176–180.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. -, Maximal measures for expansive homeomorphisms, J. London Math. Soc. (2) 5 (1972), 439–444.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. L.W. Goodwyn, Topological entropy bounds measure-theoretic entropy, Proc. A.M.S. 23 (1969), 679–688.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. B.M. Gurevic, Topological entropy of denumerable Markov chains, Soviet Math. Dokl. 10 (1969), 914–915.

    Google Scholar 

  12. A. Manning, Topological entropy and the first homology group. Proc. 1974 Warwick Symposium on Dynamical Systems, Springer-Verlag.

    Google Scholar 

  13. M. Misiurewicz, Diffeomorphism without any measure with maximal entropy, Bull. Acad. Pol. Sci. 21(1973), 903–910.

    MathSciNet  MATH  Google Scholar 

  14. W. Parry, Intrinsic Markov chains, Trans. A.M.S. 112 (1964), 55–66.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. D. Ruelle, Statistical mechanics on a compact set with 2v action satisfying expansiveness and specification, Trans. A.M.S. 185(1973), 237–251.

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. P. Walters, A variational principle for the pressure of continuous transformations, Amer. J. Math.

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and Permissions

Copyright information

© 1975 Springer-Verlag

About this chapter

Cite this chapter

Bowen, R. (1975). General thermodynamic formalism. In: Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms. Lecture Notes in Mathematics, vol 470. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081282

Download citation

  • DOI: https://doi.org/10.1007/BFb0081282

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07187-7

  • Online ISBN: 978-3-540-37534-0

  • eBook Packages: Springer Book Archive