Skip to main content

On the Araki-Woods asymptotic ratio set and non-singular transformations of a measure space

  • Conference paper
  • First Online:
Contributions to Ergodic Theory and Probability

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 160))

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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.

References

  1. Araki, H. and E. J. Woods: A classification of factors, Publ. RIMS, Kyoto University Ser. A, 4 (1968), 51–130.

    Article  MathSciNet  MATH  Google Scholar 

  2. Arnold, L. K.: On σ-finite invariant measures, Z. Wahrscheinlichkeitstheorie verw. Geb. 9 (1968), 85–97.

    Article  MathSciNet  Google Scholar 

  3. Dye, H. A.: On groups of measure preserving transformations I, Amer. J. Math. 85 (1959), 119–159.

    Article  MathSciNet  MATH  Google Scholar 

  4. Hill, D. G. B: σ-finite invariant measures on infinite product spaces, thesis, Yale University, 1969.

    Google Scholar 

  5. Jacobs, K: Neuere Methoden und Ergebnisse der Ergodentheorie, Berlin-GÅ‘ttingen-Heidelberg: Springer 1960.

    Book  MATH  Google Scholar 

  6. Kakutani, S.: On equivalence of infinite product measures, Ann. of Math. II. Ser. 49 (1948), 214–224.

    Article  MathSciNet  MATH  Google Scholar 

  7. Krieger W.: On non-singular transformations of a measure space I, Z. Wahrscheinlichkeitstheorie verw. Geb. 11, (1969), 83–97.

    Article  MathSciNet  MATH  Google Scholar 

  8. ____: On non-singular transformations of a measure space II, Z. Wahrscheinlichkeitstheorie verw. Geb. 11 (1969), 98–119.

    Article  MathSciNet  MATH  Google Scholar 

  9. ____: On a class of hyperfinite factors that arise from null-recurrent Markov chains, to appear in J. Functional Analysis.

    Google Scholar 

  10. Takenouchi, O.: On type classification of factors constructed as infinite tensor products, Publ. RIMS, Kyoto University Ser. A, 4 (1968), 467–482.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1970 Springer-Verleg

About this paper

Cite this paper

Krieger, W. (1970). On the Araki-Woods asymptotic ratio set and non-singular transformations of a measure space. In: Contributions to Ergodic Theory and Probability. Lecture Notes in Mathematics, vol 160. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060653

Download citation

  • DOI: https://doi.org/10.1007/BFb0060653

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05188-6

  • Online ISBN: 978-3-540-36371-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics