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A mixing dynamical system on the Cantor set - MaRDI portal

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A mixing dynamical system on the Cantor set (Q1895294)

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scientific article; zbMATH DE number 785318
Language Label Description Also known as
English
A mixing dynamical system on the Cantor set
scientific article; zbMATH DE number 785318

    Statements

    A mixing dynamical system on the Cantor set (English)
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    21 January 1996
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    The author studies mixing properties (ergodic, weak mixing and strong mixing) of a dynamical system on the Cantor set by showing that the one- sided \(({1\over 2}, {1\over 2})\)-shift map is isomorphic to a measure- preserving transformation defined on the Cantor set. The context of the paper is the measure-theoretic one and the measures to be considered are the probability measures.
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    ergodic
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    mixing properties
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    weak mixing
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    strong mixing
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    dynamical system
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    Cantor set
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    measure-preserving transformation
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