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A loosely Bernoulli counterexample machine

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Abstract

In Rudolph’s paper on minimal self joinings [7] he proves that a rank one mixing transformation constructed by Ornstein [5] can be used as the building block for many ergodic theoretical counterexamples. In this paper we show that Ornstein’s transformation can be altered to create a general method for producing zero entropy, loosely Bernoulli counter-examples. This paper answers a question posed by Ornstein, Rudolph, and Weiss [6].

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Authors and Affiliations

  1. Department of Mathematics, University of Maryland, 20742, College Park, MD, USA

    Christopher Hoffman

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  1. Christopher Hoffman
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Correspondence to Christopher Hoffman.

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Hoffman, C. A loosely Bernoulli counterexample machine. Isr. J. Math. 112, 237–247 (1999). https://doi.org/10.1007/BF02773483

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  • DOI: https://doi.org/10.1007/BF02773483

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