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Product of two staircase rank one transformations that is not loosely Bernoulli

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Abstract

We construct two staircase rank one transformations whose Cartesian product is not loosely Bernoulli.

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Acknowledgements

The authors would like to thank Jean-Paul Thouvenot for several discussions on the subject, and the anonymous referee for the relevance of his advice and remarks.

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Authors and Affiliations

  1. Department of Mathematics, University of Maryland, 7999 Regents Dr, College Park, Maryland, 20742, USA

    Adam Kanigowski

  2. Laboratoire de Mathématiques Raphael Salem, Université de Rouen Normandie CNRS, Avenue de l’Université, F76801, Saint Étienne du Rouvray, France

    Thierry de la Rue

Authors
  1. Adam Kanigowski
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  2. Thierry de la Rue
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Correspondence to Thierry de la Rue.

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Kanigowski, A., de la Rue, T. Product of two staircase rank one transformations that is not loosely Bernoulli. JAMA 143, 535–553 (2021). https://doi.org/10.1007/s11854-021-0162-7

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  • DOI: https://doi.org/10.1007/s11854-021-0162-7

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