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Dimension of self-affine sets for fixed translation vectors

  • Published:2018-04-23 Issue:1 Volume:98 Page:223-252
  • ISSN:0024-6107
  • Container-title:Journal of the London Mathematical Society
  • language:en
  • Short-container-title:J. London Math. Soc.

Author:

Bárány Balázs12,Käenmäki Antti3,Koivusalo Henna4

Affiliation:

1. Mathematics Institute; University of Warwick; Coventry CV4 7AL United Kingdom

2. Budapest University of Technology and Economics; MTA-BME Stochastics Research Group; P.O. Box 91 1521 Budapest Hungary

3. Department of Mathematics and Statistics; University of Jyväskylä; P.O. Box 35 (MaD) FI-40014 Finland

4. Faculty of Mathematics; University of Vienna; Oskar Morgensternplatz 1 1090 Vienna Austria

Funder

Stiftung Aktion Österreich Ungarn (AÖU)

Országos Tudományos Kutatási Alapprogramok

Engineering and Physical Sciences Research Council

Osk. Huttunen Foundation

Publisher

Wiley

Subject

General Mathematics

Reference34 articles.

1. Uniformly hyperbolic finite-valued SL (2,R)-cocycles;Avila;Comment. Math. Helv.,2010

2. Simplicity of Lyapunov spectra: a sufficient criterion;Avila;Port. Math. (N.S.),2007

3. On the Ledrappier-Young formula for self-affine measures;Bárány;Math. Proc. Cambridge Philos. Soc.,2015

4. B. Bárány M. Hochman A. Rapaport Hausdorff dimension of planar self-affine sets and measures

5. Ledrappier-Young formula and exact dimensionality of self-affine measures;Bárány;Adv. Math.,2017

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1. On the dimension of planar self-affine sets with non-invertible maps;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2023-09-07

2. Dimension of invariant measures for affine iterated function systems;Duke Mathematical Journal;2023-03-15

3. Fast approximation of the affinity dimension for dominated affine iterated function systems;Annales Fennici Mathematici;2022-04-13

4. Hausdorff dimension of planar self-affine sets and measures with overlaps;Journal of the European Mathematical Society;2021-10-15

5. Parameter Spaces of Locally Constant Cocycles;International Mathematics Research Notices;2021-05-25
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