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Denseness of ergodicity for a class of volume-preserving flows - MaRDI portal

Denseness of ergodicity for a class of volume-preserving flows (Q716236)

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scientific article; zbMATH DE number 5881455
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Denseness of ergodicity for a class of volume-preserving flows
scientific article; zbMATH DE number 5881455

    Statements

    Denseness of ergodicity for a class of volume-preserving flows (English)
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    27 April 2011
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    An approximation result is obtained in the sense that a certain class of smooth partially hyperbolic volume-preserving flows can be approximated by an ergodic \(C^2\) volume-preserving flow. This class can be characterized by a one-dimensional central direction endowed with the \(C^1\)-Whitney topology.
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    dominated splitting
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    partial hyperbolicity
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    volume-preserving flows
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    Lyapunov exponents
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    stable ergodicity
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