Skip to main content

The Ambrose-Kakutani theorem and the poisson process

  • 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. W. Ambrose, Representation of ergodic flows, Ann. Math 42, 723–739 (1941)

    Article  MathSciNet  MATH  Google Scholar 

  2. W. Ambrose and S. Kakutani, Structure and continuity of measurable flows, Duke Math J. 9, 25–42 (1942).

    Article  MathSciNet  MATH  Google Scholar 

  3. R. Davidson, Thesis (Chapter 6: Stochastic processes of flats; Chapter 7: Exchangeable stochastic point processes), University of Cambridge (1968).

    Google Scholar 

  4. A. Y. Khintchine, Mathematical methods in the theory of queueing, Griffin's Statistical Monographs and Courses, No. 7, 1960.

    Google Scholar 

  5. J. Neveu, Sur la structure des processus ponctuels stationnaires, C. R. Acad. Sc. Paris 267 Serie A, 561–564, (1968).

    MathSciNet  MATH  Google Scholar 

  6. C. Palm, Variation in intensity in telephone conversations, Ericsson Technics 1–189, 1943–44.

    Google Scholar 

  7. C. Ryll-Nardzewski, Remarks on processes of calls, Proc. of Fourth Berkeley Symposium, Vol. 2, 455–465 (1960).

    MathSciNet  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

Papangelou, F. (1970). The Ambrose-Kakutani theorem and the poisson process. In: Contributions to Ergodic Theory and Probability. Lecture Notes in Mathematics, vol 160. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060656

Download citation

  • DOI: https://doi.org/10.1007/BFb0060656

  • 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