Skip to main content

Balancing ergodic averages

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 729))

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Warren Ambrose, Paul R. Halmos, and Shizuo Kakutani, The decomposition of measures II, Duke Math.J. 9 (1942), 43–47.

    Article  MathSciNet  MATH  Google Scholar 

  2. D. L. Burkholder, Successive conditional expectations of an integrable function, Ann. Math. Stat. 33 (1962), 887–893.

    Article  MathSciNet  MATH  Google Scholar 

  3. Yves Derriennic, On the integrability of the supremum of ergodic ratios, Ann. of Prob. 1 (1973), 338–340.

    Article  MathSciNet  MATH  Google Scholar 

  4. William Feller, An Introduction to Probability Theory and its Applications, Vol. I, J. Wiley & Sons, Inc., New York, 1950.

    MATH  Google Scholar 

  5. Richard F. Gundy, On the class L log L, martingales, and singular integrals, Studia Math. 33 (1969), 109–118.

    MathSciNet  MATH  Google Scholar 

  6. Roger L. Jones, Inequalities for the ergodic maximal function, Studia Math. 60 (1977), 111–129.

    MathSciNet  MATH  Google Scholar 

  7. B. Marcus and S. Newhouse, Measures of maximal entropy for a class of skew products, to appear.

    Google Scholar 

  8. Donald Ornstein, A remark on the Birkhoff ergodic theorem, III. J. Math. 15 (1971), 77–79.

    MathSciNet  MATH  Google Scholar 

  9. Karl Petersen, The converse of the dominated ergodic theorem, to appear.

    Google Scholar 

  10. C. Pugh and M. Shub, Ergodic elements of ergodic actions, Compositio Math. 23 (1971), 115–122.

    MathSciNet  MATH  Google Scholar 

  11. H. L. Royden, Real Analysis (Second Edition), Macmillan Co., New York, 1968.

    MATH  Google Scholar 

  12. E. M. Stein, Note on the class L log L, Studia Math. 32 (1969), 305–310.

    MathSciNet  MATH  Google Scholar 

  13. J. von Neumann, Über einen Satz von Herrn M. H. Stone, Annals of Math. 33 (1932), 567–574.

    Article  MATH  Google Scholar 

  14. Norbert Wiener, The ergodic theorem, Duke Math. J. 5 (1939), 1–18.

    Article  MathSciNet  MATH  Google Scholar 

  15. Kôsaku Yosida and Shizuo Kakutani, Birkhoff's ergodic theorem and the maximal ergodic theorem, Proc. Imp. Acad. Tokyo 15 (1939), 165–168.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Manfred Denker Konrad Jacobs

Rights and permissions

Reprints and permissions

Copyright information

© 1979 Springer-Verlag

About this paper

Cite this paper

Marcus, B., Petersen, K. (1979). Balancing ergodic averages. In: Denker, M., Jacobs, K. (eds) Ergodic Theory. Lecture Notes in Mathematics, vol 729. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063289

Download citation

  • DOI: https://doi.org/10.1007/BFb0063289

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09517-0

  • Online ISBN: 978-3-540-35130-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics