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Approximation and Asymptotics of Dimension for some Non-Uniformly Hyperbolic Interval Maps with Holes

Persson, Tomas LU (2007) In Nonlinearity 20(11). p.2615-2632
Abstract
We study how the dimension of the invariant set of an interval map with a hole depends on the size of the hole. Under some assumptions on the map, it is shown that the derivative of the dimension with respect to the size of the hole is bounded and that the dimension is bounded away from zero.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Nonlinearity
volume
20
issue
11
pages
2615 - 2632
publisher
London Mathematical Society / IOP Science
external identifiers
  • wos:000250725900008
  • scopus:35548936126
ISSN
0951-7715
DOI
10.1088/0951-7715/20/11/008
language
English
LU publication?
yes
id
43ec591d-e1e8-4347-882e-045dca91e36d (old id 627312)
date added to LUP
2008-09-15 09:28:53
date last changed
2017-03-14 13:40:54
@article{43ec591d-e1e8-4347-882e-045dca91e36d,
  abstract     = {We study how the dimension of the invariant set of an interval map with a hole depends on the size of the hole. Under some assumptions on the map, it is shown that the derivative of the dimension with respect to the size of the hole is bounded and that the dimension is bounded away from zero.},
  author       = {Persson, Tomas},
  issn         = {0951-7715},
  language     = {eng},
  number       = {11},
  pages        = {2615--2632},
  publisher    = {London Mathematical Society / IOP Science},
  series       = {Nonlinearity},
  title        = {Approximation and Asymptotics of Dimension for some Non-Uniformly Hyperbolic Interval Maps with Holes},
  url          = {http://dx.doi.org/10.1088/0951-7715/20/11/008},
  volume       = {20},
  year         = {2007},
}