Title of article :
Cantor sets constructed by infinitely renormalizable diffeomorphisms
Author/Authors :
Sumi، نويسنده , , Naoya، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 1996
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
Journal title :
Topology and its Applications
