Dimension results for inhomogeneous Moran set constructions

DOI10.1080/14689367.2013.800470zbMath1275.28005arXiv1211.0927OpenAlexW2066401072MaRDI QIDQ2844019

Yiwei Zhang, M. P. Holland

Publication date: 27 August 2013

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.0927

zbMATH Keywords

fractal dimensionMoran sets

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Fractals (28A80) Hausdorff and packing measures (28A78) Dimension theory of smooth dynamical systems (37C45)

Related Items (4)

Dimensions of slices through the Sierpiński gasket ⋮ Non-autonomous conformal iterated function systems and Moran-set constructions ⋮ Weak separation condition, Assouad dimension, and Furstenberg homogeneity ⋮ The Hausdorff dimension of some planar sets with unbounded digits

Cites Work

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• On the dimension of deterministic and random Cantor-like sets, symbolic dynamics, and the Eckmann-Ruelle conjecture
• Some dimensional results for homogeneous Moran sets
• On the structures and dimensions of Moran sets
• Dimensions of cookie-cutter-like sets
• Ergodic optimization
• Non-autonomous conformal iterated function systems and Moran-set constructions
• Dimension of non-conformal repellers: a survey
• Parabolic iterated function systems
• A non-additive thermodynamic formalism and applications to dimension theory of hyperbolic dynamical systems
• The Lyapunov spectrum of some parabolic systems

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