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Skew products of Bernoulli shifts with rotations. II

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Abstract

IfT is a weakly mixing skew product transformation defined byT(x, y)=σx, y+f(x) (mod 1)), where σ is a Bernoulli shift andf is a function satisfying a Hölder type condition and measurable with respect to the past of an independent partition of σ, thenT is Bernoulli.

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Authors and Affiliations

  1. IBM Thomas J. Watson Research Center, Yorktown Heights, New York, U.S.A.

    R. L. Adler & P. C. Shields

Authors
  1. R. L. Adler
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  2. P. C. Shields
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Additional information

This work was partially supported by National Science Foundation under grant #GP33581.

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Adler, R.L., Shields, P.C. Skew products of Bernoulli shifts with rotations. II. Israel J. Math. 19, 228–236 (1974). https://doi.org/10.1007/BF02757718

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  • DOI: https://doi.org/10.1007/BF02757718

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