Dimension product structure of hyperbolic sets
Författare
Summary, in English
We conjecture that the fractal dimension of hyperbolic sets can be computed by adding those of their stable and unstable slices. This would facilitate substantial progress in the calculation or estimation of these dimensions, which are related in deep ways to dynamical properties. We prove the conjecture in a model case of Smale solenoids.
Avdelning/ar
- Matematik LTH
- Dynamical systems
Publiceringsår
2004
Språk
Engelska
Sidor
88-96
Publikation/Tidskrift/Serie
Electronic Research Announcements of the American Mathematical Society
Volym
10
Dokumenttyp
Artikel i tidskrift
Förlag
American Mathematical Society (AMS)
Ämne
- Mathematics
Nyckelord
- Lipschitz continuity
- holonomies
- conjecture
- Eckmann-Ruelle
- Hausdorff dimension
- hyperbolic set
- fractal dimension
- product structure
Status
Published
Forskningsgrupp
- Dynamical systems
ISBN/ISSN/Övrigt
- ISSN: 1079-6762