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:
https://lup.lub.lu.se/record/627312
- author
- Persson, Tomas
LU
- organization
- publishing date
- 2007
- 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
- 2016-04-01 11:47:12
- date last changed
- 2022-03-28 03:04:34
@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}},
doi = {{10.1088/0951-7715/20/11/008}},
volume = {{20}},
year = {{2007}},
}