Approximation and Asymptotics of Dimension for some Non-Uniformly Hyperbolic Interval Maps with Holes
Författare
Summary, in English
We study how the dimension of the invariant set of an interval map with a hole depends on the size of the hole. Under some assumptions on the map, it is shown that the derivative of the dimension with respect to the size of the hole is bounded and that the dimension is bounded away from zero.
Avdelning/ar
- Matematik LTH
- Dynamical systems
Publiceringsår
2007
Språk
Engelska
Sidor
2615-2632
Publikation/Tidskrift/Serie
Nonlinearity
Volym
20
Issue
11
Dokumenttyp
Artikel i tidskrift
Förlag
London Mathematical Society / IOP Science
Ämne
- Mathematics
Status
Published
Forskningsgrupp
- Analysis and Dynamics
- Dynamical systems
ISBN/ISSN/Övrigt
- ISSN: 0951-7715