A piecewise hyperbolic map with absolutely continuous invariant measure
Persson, Tomas LU
(2006)
In Dynamical Systems
21(3).
p.363-378
- Abstract
- We consider a class of non-invertible piecewise affine hyperbolic endomorphisms with singularities and show that for an open set of parameters there exists almost surely an absolutely continuous invariant measure. Also, exponential decay of correlations is proved for Holder continuous functions.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/377129
- author
- Persson, Tomas
LU
- organization
- publishing date
- 2006
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Dynamical Systems
- volume
- 21
- issue
- 3
- pages
- 363 - 378
- publisher
- Taylor & Francis
- external identifiers
-
- wos:000241862600006
- scopus:33749484667
- ISSN
- 1468-9367
- DOI
- 10.1080/14689360600627100
- language
- English
- LU publication?
- yes
- id
- e65b4119-6bda-4797-8baf-d81d2a6bad49 (old id 377129)
- alternative location
- http://www.maths.lth.se/matematiklth/personal/tomasp/pub/2005_29.pdf
- date added to LUP
- 2016-04-01 12:14:08
- date last changed
- 2022-01-27 00:49:39
@article{e65b4119-6bda-4797-8baf-d81d2a6bad49,
abstract = {{We consider a class of non-invertible piecewise affine hyperbolic endomorphisms with singularities and show that for an open set of parameters there exists almost surely an absolutely continuous invariant measure. Also, exponential decay of correlations is proved for Holder continuous functions.}},
author = {{Persson, Tomas}},
issn = {{1468-9367}},
language = {{eng}},
number = {{3}},
pages = {{363--378}},
publisher = {{Taylor & Francis}},
series = {{Dynamical Systems}},
title = {{A piecewise hyperbolic map with absolutely continuous invariant measure}},
url = {{http://dx.doi.org/10.1080/14689360600627100}},
doi = {{10.1080/14689360600627100}},
volume = {{21}},
year = {{2006}},
}