Non-typical points for β-shifts
Författare
Summary, in English
We study sets of non-typical points under the map fβ↦βx mod 1 for non-integer β and extend our results from [Fund. Math. 209 (2010)] in several directions. In particular, we prove that sets of points whose forward orbit avoid certain Cantor sets, and the set of points for which ergodic averages diverge, have large intersection properties. We observe that the technical condition β>1.541 found in the above paper can be removed.
Avdelning/ar
- Matematik LTH
- Dynamical systems
Publiceringsår
2013
Språk
Engelska
Sidor
123-132
Publikation/Tidskrift/Serie
Bulletin of the Polish Academy of Sciences: Mathematics
Volym
61
Issue
2
Länkar
Dokumenttyp
Artikel i tidskrift
Förlag
Institute of Mathematics, Polish Academy of Sciences
Ämne
- Mathematics
Status
Published
Forskningsgrupp
- Dynamical systems
ISBN/ISSN/Övrigt
- ISSN: 0239-7269