Nonexistence of the box dimension for dynamically invariant sets
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Publication:6145252
DOI10.2140/apde.2023.16.2385arXiv2102.04375OpenAlexW3128491328MaRDI QIDQ6145252
Publication date: 9 January 2024
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.04375
Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Fractals (28A80) Dimension theory of smooth dynamical systems (37C45)
Cites Work
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- Number theoretical peculiarities in the dimension theory of dynamical systems.
- Dimension and measures on sub-self-affine sets
- Systèmes codés. (Coded systems)
- Hausdorff dimension of quasi-circles
- The Hausdorff and dynamical dimensions of self-affine sponges: a dimension gap result
- The dimensions of some self-affine limit sets in the plane and hyperbolic sets
- Hausdorff dimensions of sofic affine-invariant sets
- Dimension estimates for non-conformal repellers and continuity of sub-additive topological pressure
- Hausdorff dimension of planar self-affine sets and measures
- A panorama of specification-like properties and their consequences
- Dimension estimates in smooth dynamics: a survey of recent results
- Invariant measures of full dimension for some expanding maps
- The Hausdorff dimension of general Sierpiński carpets
- Dimension of non-conformal repellers: a survey
- The Hausdorff dimension of self-affine fractals
- A non-additive thermodynamic formalism and applications to dimension theory of hyperbolic dynamical systems
- Dimensions and Measures of Quasi Self-Similar Sets
- Repellers for real analytic maps
- Sub-Self-Similar Sets
- Fractal Geometry of Bedford-McMullen Carpets
