Large intersection classes on fractals
Färm, David LU and Persson, Tomas LU
(2011)
In Nonlinearity
24(4).
p.1291-1309
- Abstract (Swedish)
- Abstract in Undetermined
We consider limit sets of conformal iterated function systems, and introduce classes of subsets of these limit sets, with the property that the classes are closed under countable intersections and that all sets in the classes have a large Hausdorff dimension. Using these classes we determine the Hausdorff dimension and large intersection properties of some sets occurring in ergodic theory, Diophantine approximation and complex dynamics.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2224400
- author
- Färm, David
LU
and Persson, Tomas
LU
- organization
- publishing date
- 2011
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Nonlinearity
- volume
- 24
- issue
- 4
- pages
- 1291 - 1309
- publisher
- London Mathematical Society / IOP Science
- external identifiers
-
- scopus:79952976828
- ISSN
- 0951-7715
- DOI
- 10.1088/0951-7715/24/4/014
- language
- English
- LU publication?
- yes
- id
- 12b657e9-ea6a-43ed-900f-e21dbc1d81af (old id 2224400)
- alternative location
- https://arxiv.org/abs/0912.0864
- date added to LUP
- 2016-04-01 10:36:20
- date last changed
- 2022-03-19 22:17:57
@article{12b657e9-ea6a-43ed-900f-e21dbc1d81af,
abstract = {{<b>Abstract in Undetermined</b><br/><br>
We consider limit sets of conformal iterated function systems, and introduce classes of subsets of these limit sets, with the property that the classes are closed under countable intersections and that all sets in the classes have a large Hausdorff dimension. Using these classes we determine the Hausdorff dimension and large intersection properties of some sets occurring in ergodic theory, Diophantine approximation and complex dynamics.}},
author = {{Färm, David and Persson, Tomas}},
issn = {{0951-7715}},
language = {{eng}},
number = {{4}},
pages = {{1291--1309}},
publisher = {{London Mathematical Society / IOP Science}},
series = {{Nonlinearity}},
title = {{Large intersection classes on fractals}},
url = {{http://dx.doi.org/10.1088/0951-7715/24/4/014}},
doi = {{10.1088/0951-7715/24/4/014}},
volume = {{24}},
year = {{2011}},
}