Skip to main content
Log in

β-automorphisms are Bernoulli shifts

  • Published:
Acta Mathematica Academiae Scientiarum Hungarica Aims and scope Submit manuscript

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. P. Billingsley,Ergodic theory and information, Wiley, 1965.

  2. N. A. FriedmanD. S. Ornstein, On isomorphism of weak Bernoulli transformations,Advances in Math.,5 [3] (1970), pp. 365–394.

    Google Scholar 

  3. W. Parry, On the β-expansion of real numbers,Acta. Math. Acad. Sci. Hung.,11 (1960), pp. 401–416.

    Google Scholar 

  4. A. Rényi, Representations for real numbers and their ergodic properties,Acta. Math. Acad. Sci. Hung.,8 (1957), pp. 472–493.

    Google Scholar 

  5. V. A. Rokhlin, Exact endomorphisms of a Lebesgue space,Izv. Akad. Nauk SSSR, Ser. Mat.,24 (1960);English AMS Translation, Series2, Vol.39 (1969), pp. 1–36.

  6. M. S. Waterman, Some ergodic properties of multidimensionalF-expansions,Z. Wahrscheinlichkeitsrechnung,16 (1970), pp. 77–103.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Smorodinsky, M. β-automorphisms are Bernoulli shifts. Acta Mathematica Academiae Scientiarum Hungaricae 24, 273–278 (1973). https://doi.org/10.1007/BF01958037

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01958037

Keywords

Navigation