Skip to main content

Poincaré sequences in infinite measure spaces and complementing subsets of the integers

Part of the Lecture Notes in Mathematics book series (LNM,volume 1342)

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   39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
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. de Bruijn, N.G., "On Bases For The Set Of Integers", Publ. Math. (Debrecen) 1 (1950), 232–242.

    MathSciNet  MATH  Google Scholar 

  2. Eigen, S. and Hajian, A., "Sequences Of Integers And Ergodic Transformtions", to appear in Advances in Math.

    Google Scholar 

  3. S. Eigen, A. Hajian and Y. Ito, "Ergodic Measure Preserving Transformations Of Finite Type", preprint.

    Google Scholar 

  4. Friedman, N., "Introduction To Ergodic Theory", (1970) Van Nostrand, New York.

    MATH  Google Scholar 

  5. Furstenberg, H., "Recurrence in Ergodic Theory And Combinatorial Number Theory", (1981), Princeton University Press, Princeton, New Jersey

    CrossRef  MATH  Google Scholar 

  6. Hajian, A. and Kakutani, S., "An Example Of An Ergodic Measure Preserving Transformation On An Infinite Measure Space", Lecture Notes in Math. #160, Springer Verlag (1970), 45–52

    Google Scholar 

  7. Long, Calvin T. "Addition Theorems For Sets Of Integers", Pacific J. Math., 22 (1967), 107–112.

    CrossRef  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

© 1988 Springer-Verlag

About this paper

Cite this paper

Eigen, S., Hajian, A. (1988). Poincaré sequences in infinite measure spaces and complementing subsets of the integers. In: Alexander, J.C. (eds) Dynamical Systems. Lecture Notes in Mathematics, vol 1342. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082828

Download citation

  • DOI: https://doi.org/10.1007/BFb0082828

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50174-9

  • Online ISBN: 978-3-540-45946-0

  • eBook Packages: Springer Book Archive