The Hausdorff dimension of the set of dissipative points for a Cantor-like model set of singly cusped parabolic dynamics
Författare
Summary, in English
In this paper we introduce and study a certain intricate Cantor-like set C contained in unit interval. Our main result is to show that the set C itself, as well as the set of dissipative points within C, both have Hausdorff dimension equal to 1. The proof uses the transience of a certain non-symmetric Cauchy-type random walk.
Avdelning/ar
- Matematik LTH
- Dynamical systems
Publiceringsår
2009
Språk
Engelska
Sidor
179-196
Publikation/Tidskrift/Serie
Kodai Mathematical Journal
Volym
32
Issue
2
Dokumenttyp
Artikel i tidskrift
Förlag
Kinokuniya Co Ltd
Ämne
- Mathematics
Nyckelord
- Hausdorff dimension
- Fractal geometry
- Cauchy random walks
- Kleinian
- groups
Status
Published
Forskningsgrupp
- Dynamical systems
ISBN/ISSN/Övrigt
- ISSN: 0386-5991