Absolutely continuous invariant measures for some piecewise hyperbolic affine maps
(2008) In Ergodic Theory and Dynamical Systems 28(1). p.211-228- Abstract
- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/627388
- author
- Persson, Tomas LU
- organization
- publishing date
- 2008
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- SYSTEMS, DIMENSION, ENDOMORPHISMS, STATISTICAL PROPERTIES, EXPANDING MAPS, SINGULARITIES, PLANE
- in
- Ergodic Theory and Dynamical Systems
- volume
- 28
- issue
- 1
- pages
- 211 - 228
- publisher
- Cambridge University Press
- external identifiers
-
- wos:000253117600008
- scopus:38149138816
- ISSN
- 1469-4417
- DOI
- 10.1017/S0143385707000442
- language
- English
- LU publication?
- yes
- id
- 82d950d3-f492-479f-9c5e-da351975d9fc (old id 627388)
- date added to LUP
- 2016-04-01 12:01:17
- date last changed
- 2023-07-18 09:13:58
@article{82d950d3-f492-479f-9c5e-da351975d9fc, abstract = {{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.}}, author = {{Persson, Tomas}}, issn = {{1469-4417}}, keywords = {{SYSTEMS; DIMENSION; ENDOMORPHISMS; STATISTICAL PROPERTIES; EXPANDING MAPS; SINGULARITIES; PLANE}}, language = {{eng}}, number = {{1}}, pages = {{211--228}}, publisher = {{Cambridge University Press}}, series = {{Ergodic Theory and Dynamical Systems}}, title = {{Absolutely continuous invariant measures for some piecewise hyperbolic affine maps}}, url = {{http://dx.doi.org/10.1017/S0143385707000442}}, doi = {{10.1017/S0143385707000442}}, volume = {{28}}, year = {{2008}}, }