Skip to main content
Log in

Mixing properties of a class of skew-products

  • Published:
Israel Journal of Mathematics Aims and scope Submit manuscript

Abstract

Skew-products of the powers of an ergodic measure preserving transformation with a Bernoulli base are shown to bek-automorphisms.

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.

Similar content being viewed by others

References

  1. R. L. Adler and P. Shields,Skew products of Bernoulli shifts with rotations, Israel J. Math.12 (1972), 215–222.

    MATH  MathSciNet  Google Scholar 

  2. P. R. Halmos,Lectures on Ergodic Theory, Chelsea, 1956.

  3. D. Ornstein, and L. Sucheston,An operator theorem on L 1 convergence to zero with applications to Markov Kernels, Ann. Math. Statist.41 (1970), 1631–1639.

    MathSciNet  MATH  Google Scholar 

  4. V. A. Rohlin,Lectures on the entropy theory of transformations with invariant measure, Russian Math. Surveys,22 (1967), No. 5, 1–52.

    Article  MathSciNet  Google Scholar 

  5. F. Spitzer,Principles of Random Walk, Van Nostrand, 1964.

  6. B. Weiss,The isomorphism problem in ergodic theory. Bull. Amer. Math. Soc.,78, (1972), 668–684.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Meilijson, I. Mixing properties of a class of skew-products. Israel J. Math. 19, 266–270 (1974). https://doi.org/10.1007/BF02757724

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02757724

Keywords

Navigation