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On shrinking targets for piecewise expanding interval maps

Persson, Tomas LU and RAMS, MICHAŁ (2015) In Ergodic Theory and Dynamical Systems
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:
author
organization
publishing date
type
Contribution to journal
publication status
epub
subject
in
Ergodic Theory and Dynamical Systems
pages
18 pages
publisher
Cambridge University Press
external identifiers
  • Scopus:84940068591
ISSN
0143-3857
DOI
10.1017/etds.2015.49
language
English
LU publication?
yes
id
226c637a-1f43-4ba3-b93e-ca64c828088f
date added to LUP
2016-04-12 13:04:00
date last changed
2017-01-01 08:22:39
@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},
  month        = {08},
  pages        = {18},
  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},
  year         = {2015},
}