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

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Abstract

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.

Journal

Details

  • CRID
    1570009752384038528
  • NII Article ID
    110006455964
  • NII Book ID
    AA00664323
  • ISSN
    00182079
  • Text Lang
    en
  • Data Source
    • CiNii Articles

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