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Mixing of all orders and pairwise independent joinings of systems with singular spectrum

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Abstract

We prove that every pairwise independent joining of weakly mixing systems with purely singular spectrum is independent; it follows that every mixing system with purely singular spectrum is mixing of all orders.

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Authors and Affiliations

  1. Département de Mathématiques, C.S.P., Université de Paris-Nord, 93430, Villetaneuse, France

    Bernard Host

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  1. Bernard Host
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Correspondence to Bernard Host.

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Host, B. Mixing of all orders and pairwise independent joinings of systems with singular spectrum. Israel J. Math. 76, 289–298 (1991). https://doi.org/10.1007/BF02773866

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  • DOI: https://doi.org/10.1007/BF02773866

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