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Eventually independent sequences

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Abstract

The class of eventually independent sequences for a weakly mixing transformation is an isomorphism invariant that is useful for distinguishing zero entropy transformations. This invariant is used to distinguish certain weakly mixing transformations as well as certain partially mixing transformations.

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References

  1. R. V. Chacon,Weakly mixing transformations which are not strongly mixing, Proc. Amer. Math. Soc.22 (1969), 559–562.

    Article  MATH  MathSciNet  Google Scholar 

  2. J. W. England and N. F. G. Martin,On weak mixing metric automorphisms, Bull. Amer. Math. Soc.74 (1968), 505–507.

    MATH  MathSciNet  Google Scholar 

  3. N. A. Friedman and D. S. Ornstein,On partially mixing transformations, Indiana Univ. Math. J.20 (1971), 767–765.

    Article  MATH  MathSciNet  Google Scholar 

  4. N. A. Friedman and D. S. Ornstein,On mixing and partial mixing, Illinois J. Math.16 (1972), 61–68.

    MATH  MathSciNet  Google Scholar 

  5. H. Furstenberg,Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions, J. Analyse Math.31 (1977), 204–256.

    Article  MATH  MathSciNet  Google Scholar 

  6. U. Krengel,Weakly wandering vectors and weakly independent partitions, Trans. Amer. Math. Soc.164 (1972), 199–226.

    Article  MATH  MathSciNet  Google Scholar 

  7. V. A. Rohlin,In general a measure preserving transformation is not mixing, Dokl. Akad. Nauk SSSR60 (1948), 349–351.

    MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Mathematics Department, State University of New York at Albany, 12222, Albany, NY, USA

    Nathaniel A. Friedman

Authors
  1. Nathaniel A. Friedman
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Additional information

In memory of Shlomo Horowitz

Research partially supported by National Science Foundation Grant MCS7606735A01.

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Friedman, N.A. Eventually independent sequences. Israel J. Math. 33, 310–316 (1979). https://doi.org/10.1007/BF02762167

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  • DOI: https://doi.org/10.1007/BF02762167

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