Large intersection classes on fractals
Författare
Summary, in Swedish
Abstract in Undetermined
We consider limit sets of conformal iterated function systems, and introduce classes of subsets of these limit sets, with the property that the classes are closed under countable intersections and that all sets in the classes have a large Hausdorff dimension. Using these classes we determine the Hausdorff dimension and large intersection properties of some sets occurring in ergodic theory, Diophantine approximation and complex dynamics.
We consider limit sets of conformal iterated function systems, and introduce classes of subsets of these limit sets, with the property that the classes are closed under countable intersections and that all sets in the classes have a large Hausdorff dimension. Using these classes we determine the Hausdorff dimension and large intersection properties of some sets occurring in ergodic theory, Diophantine approximation and complex dynamics.
Avdelning/ar
- Matematik LTH
- Dynamical systems
Publiceringsår
2011
Språk
Engelska
Sidor
1291-1309
Publikation/Tidskrift/Serie
Nonlinearity
Volym
24
Issue
4
Länkar
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