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On the regularization of conservative maps

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Acta Mathematica

Abstract

We show that smooth maps are C 1-dense among C 1 volume-preserving maps.

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Authors and Affiliations

  1. CNRS UMR 7586 Institut de Mathématiques de Jussieu, 175 rue du Chevaleret, FR-75013, Paris, France

    Artur Avila

  2. Instituto Nacional de Matemática Pura e Aplicada, Estrada Dona Castorina 110, 22460-320, Rio de Janeiro, Brasil

    Artur Avila

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  1. Artur Avila
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Avila, A. On the regularization of conservative maps. Acta Math 205, 5–18 (2010). https://doi.org/10.1007/s11511-010-0050-y

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  • DOI: https://doi.org/10.1007/s11511-010-0050-y

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