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Rank one lightly mixing

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Abstract

A rank one transformationT was constructed by Chacón that is weakly mixing but not mixing. We will show thatT is lightly mixing, not partially mixing, and not lightly 2-mixing.

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Authors and Affiliations

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

    N. A. Friedman

  2. Department of Mathematics, University of Florida, 32611, Gainesville, FL, USA

    J. L. King

Authors
  1. N. A. Friedman
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  2. J. L. King
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Partially supported by an NSF Postdoctoral Research Fellowship.

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Friedman, N.A., King, J.L. Rank one lightly mixing. Israel J. Math. 73, 281–288 (1991). https://doi.org/10.1007/BF02773841

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  • DOI: https://doi.org/10.1007/BF02773841

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