Skip to main content

Ergodic theorems

  • Chapter
  • First Online:
Ergodic Theory and Statistical Mechanics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1115))

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

Access this chapter

eBook
USD 19.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 29.99
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.

3.5. References

  1. ALAOGLU, L. and BIRKHOFF, G., General ergodic theorems. Annals of Mathematics Vol. 41 no 2 (1940), 293–309.

    Article  MathSciNet  MATH  Google Scholar 

  2. FURSTENBERG, H., Strict ergodicity and transformation of the torus. Amer. J. of Math. 83 (1961), 573–601.

    Article  MathSciNet  MATH  Google Scholar 

  3. BILLINGSLEY, P., Ergodic Theory and Information. Wiley series in probability and mathematical statistics (1965).

    Google Scholar 

  4. CHATARD, J., Applications des propriétés de moyenne d’un groupe localement compact à la théorie ergodique. Thèse de 3ème cycle. Paris (1972).

    Google Scholar 

  5. BEWLEY, T., Extension of the Birkhoff and Von Neumann ergodic theorems to semigroup actions. Ann. I. H. P., Vol VII, no4 (1971), 283–291.

    MathSciNet  MATH  Google Scholar 

  6. EMERSON, W. R., The pointwise ergodic theorem for amenable groups. Amer. Jour. of Math. 96 (1974), 472–487.

    Article  MathSciNet  MATH  Google Scholar 

  7. MISIUREWICZ, M., A short proof of the variational principle for a Z n+ -action on a compact space. Astérisque no 40 (1977), 147–158.

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag

About this chapter

Cite this chapter

Ollagnier, J.M. (1985). Ergodic theorems. In: Ergodic Theory and Statistical Mechanics. Lecture Notes in Mathematics, vol 1115. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101578

Download citation

  • DOI: https://doi.org/10.1007/BFb0101578

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15192-0

  • Online ISBN: 978-3-540-39289-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics