Absolutely continuous invariant measures for some piecewise hyperbolic affine maps
Författare
Summary, in English
A class of piecewise affine hyperbolic maps on a bounded subset of the plane is considered. It is shown that if a map from this class is sufficiently area-expanding then almost surely this map has an absolutely continuous invariant measure.
Avdelning/ar
- Matematik LTH
- Dynamical systems
Publiceringsår
2008
Språk
Engelska
Sidor
211-228
Publikation/Tidskrift/Serie
Ergodic Theory and Dynamical Systems
Volym
28
Issue
1
Dokumenttyp
Artikel i tidskrift
Förlag
Cambridge University Press
Ämne
- Mathematics
Nyckelord
- SYSTEMS
- DIMENSION
- ENDOMORPHISMS
- STATISTICAL PROPERTIES
- EXPANDING MAPS
- SINGULARITIES
- PLANE
Status
Published
Forskningsgrupp
- Analysis and Dynamics
- Dynamical systems
ISBN/ISSN/Övrigt
- ISSN: 1469-4417