Structure of equilibrium states on self-affine sets and strict monotonicity of affinity dimension

Author:

Käenmäki Antti1,Morris Ian D.2

Affiliation:

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

2. Department of Mathematics; University of Surrey; Guildford GU2 7XH United Kingdom

Funder

Engineering and Physical Sciences Research Council

Publisher

Wiley

Subject

General Mathematics

Cited by 12 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Non-invertible planar self-affine sets;Mathematical Proceedings of the Cambridge Philosophical Society;2024-05-08

2. Uniform quasi-multiplicativity of locally constant cocycles and applications;Studia Mathematica;2024

3. A converse statement to Hutchinson’s theorem and a dimension gap for self-affine measures;Journal of the European Mathematical Society;2022-11-11

4. Dynamically defined subsets of generic self-affine sets*;Nonlinearity;2022-08-22

5. Dimension drop of connected part of slicing self-affine sponges;Journal of Mathematical Analysis and Applications;2022-05

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