Absolutely continuous invariant measures for expansive diffeomorphisms of the 2-torus

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The aim of this paper is to establish an equivalent criterion for certain expansive diffeomorphisms of the 2-torus to admit an invariant Borel probability measure that is absolutely continuous with respect to the Riemannian volume. Our result is closely related to the well known Liv\v{s}ic-Sinai theorem for Anosov diffeomorphisms.

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詳細情報 詳細情報について

  • CRID
    1570009752384038528
  • NII論文ID
    110006455964
  • NII書誌ID
    AA00664323
  • ISSN
    00182079
  • 本文言語コード
    en
  • データソース種別
    • CiNii Articles

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