On shrinking targets for piecewise expanding interval maps
Persson, Tomas LU
and RAMS, MICHAŁ
(2017)
In Ergodic Theory and Dynamical Systems
37(02).
p.646-663
- Abstract
For a map (Formula presented.) with an invariant measure (Formula presented.), we study, for a (Formula presented.)-typical (Formula presented.), the set of points (Formula presented.) such that the inequality (Formula presented.) is satisfied for infinitely many (Formula presented.). We give a formula for the Hausdorff dimension of this set, under the assumption that (Formula presented.) is piecewise expanding and (Formula presented.) is a Gibbs measure. In some cases we also show that the set has a large intersection property.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/226c637a-1f43-4ba3-b93e-ca64c828088f
- author
- Persson, Tomas
LU
and RAMS, MICHAŁ
- organization
- publishing date
- 2017-04
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Ergodic Theory and Dynamical Systems
- volume
- 37
- issue
- 02
- pages
- 646 - 663
- publisher
- Cambridge University Press
- external identifiers
-
- wos:000395899300015
- scopus:84940068591
- ISSN
- 0143-3857
- DOI
- 10.1017/etds.2015.49
- language
- English
- LU publication?
- yes
- id
- 226c637a-1f43-4ba3-b93e-ca64c828088f
- alternative location
- https://arxiv.org/abs/1406.6785
- date added to LUP
- 2016-04-12 13:04:00
- date last changed
- 2025-10-14 13:23:58
@article{226c637a-1f43-4ba3-b93e-ca64c828088f,
abstract = {{<p>For a map (Formula presented.) with an invariant measure (Formula presented.), we study, for a (Formula presented.)-typical (Formula presented.), the set of points (Formula presented.) such that the inequality (Formula presented.) is satisfied for infinitely many (Formula presented.). We give a formula for the Hausdorff dimension of this set, under the assumption that (Formula presented.) is piecewise expanding and (Formula presented.) is a Gibbs measure. In some cases we also show that the set has a large intersection property.</p>}},
author = {{Persson, Tomas and RAMS, MICHAŁ}},
issn = {{0143-3857}},
language = {{eng}},
number = {{02}},
pages = {{646--663}},
publisher = {{Cambridge University Press}},
series = {{Ergodic Theory and Dynamical Systems}},
title = {{On shrinking targets for piecewise expanding interval maps}},
url = {{http://dx.doi.org/10.1017/etds.2015.49}},
doi = {{10.1017/etds.2015.49}},
volume = {{37}},
year = {{2017}},
}