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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.
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author
organization
publishing date
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)
date added to LUP
2011-12-09 07:28:16
date last changed
2017-04-02 03:11:51
@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},
  volume       = {24},
  year         = {2011},
}