• Title of article

    Cantor sets constructed by infinitely renormalizable diffeomorphisms

  • Author/Authors

    Sumi، نويسنده , , Naoya، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 1996
  • Pages
    14
  • From page
    43
  • To page
    56
  • Abstract
    The notion of infinitely renormalizable diffeomorphisms is given. It is discussed that the regularity of such diffeomorphisms is closely related to Hausdorff dimension of certain Cantor sets, and checked moreover that it is not possible to construct such diffeomorphism with C3 under our definition.
  • Keywords
    Topological entropy , Kupka-Smale diffeomorphism , Hِlder exponent , Minimal set , Hausdorff dimension
  • Journal title
    Topology and its Applications
  • Serial Year
    1996
  • Journal title
    Topology and its Applications
  • Record number

    1578948