Skip to main content

Unique ergodicity and related problems

  • Conference paper
  • First Online:
Ergodic Theory

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

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Atkinson, G.: Recurrence of cocycles and random walks. J. London Math. Soc. (2), 13 (1976), 486–488.

    Article  MathSciNet  MATH  Google Scholar 

  2. Dani, S.G., and Keane, M.: Ergodic invariant measures for actions of SL(2,Z). Preprint (1978).

    Google Scholar 

  3. Effros, E.G.: Transformation groups and C*-algebras. Ann. of Math. 81 (1965), 38–55.

    Article  MathSciNet  MATH  Google Scholar 

  4. Katznelson, Y., and Weiss, B.: The construction of quasi-invariant measures. Israel J. Math. 12 (1972), 1–4.

    Article  MathSciNet  MATH  Google Scholar 

  5. Keane, M.: Sur les mesures quasi-ergodiques des translations irrationelles. C.R.Acad.Sci.Paris 272 (1971), 54–55.

    MathSciNet  MATH  Google Scholar 

  6. Kornfel'd, I.P.: Quasi-invariant measures for topological dynamical systems (Russian). Izv.Akad.Nauk.SSSR Ser.Mat. 38 (1974), 1305–1323.

    MathSciNet  Google Scholar 

  7. Krieger, W.: On quasi-invariant measures in uniquely ergodic systems. Inventiones Math. 14 (1971), 184–196.

    Article  MathSciNet  MATH  Google Scholar 

  8. —: On unique ergodicity. Proc. Sixth Berkeley Symp. on Math. Stat. and Probability. Berkeley-Los Angeles: University of California Press, 1972, 327–346.

    MATH  Google Scholar 

  9. —: On ergodic flows and the isomorphism of factors. Math. Ann. 223 (1976), 19–70.

    Article  MathSciNet  MATH  Google Scholar 

  10. —: On Borel automorphisms and their quasi-invariant measures. Math. Z. 151 (1976), 19–24.

    Article  MathSciNet  MATH  Google Scholar 

  11. Mandrekar, V., and Nadkarni, M.: On ergodic quasi-invariant measures on the circle group. J. Functional Analysis 3 (1968), 157–163.

    Article  MathSciNet  MATH  Google Scholar 

  12. Oxtoby, J.C.: Measure and Category. New York-Heidelberg-Berlin: Springer, 1971.

    Book  MATH  Google Scholar 

  13. Schmidt, K.: Infinite invariant measures on the circle. Symposia Math. XXI (1977), 37–43.

    MathSciNet  Google Scholar 

  14. —: Cocycles of ergodic transformation groups. Macmillan (India) 1977.

    Google Scholar 

  15. —: Unique ergodicity for quasi-invariant measures. Preprint (1978).

    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

Schmidt, K. (1979). Unique ergodicity and related problems. In: Denker, M., Jacobs, K. (eds) Ergodic Theory. Lecture Notes in Mathematics, vol 729. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063294

Download citation

  • DOI: https://doi.org/10.1007/BFb0063294

  • 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