Piecewise linear iterated function systems on the line of overlapping construction

DOI10.1088/1361-6544/AC355EzbMath1484.28006arXiv2103.10772OpenAlexW3137494532MaRDI QIDQ5014649

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Publication date: 8 December 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.10772

zbMATH Keywords

Hausdorff dimensionpiecewise linear dynamicsgraph directed iterated function system

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (1)

Fractal dimensions of continuous piecewise linear iterated function systems

Cites Work

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• On self-similar sets with overlaps and inverse theorems for entropy
• The Hausdorff dimension of some fractals and attractors of overlapping construction
• The box dimension of completely invariant subsets for expanding piecewise monotonic transformations
• Iterated function systems with super-exponentially close cylinders
• Super-exponential condensation without exact overlaps
• Invariant measures for parabolic IFS with overlaps and random continued fractions
• On the dimension of self-affine sets and measures with overlaps
• Hausdorff Dimension in Graph Directed Constructions
• The Hausdorff dimension of self-affine fractals
• A non-additive thermodynamic formalism and applications to dimension theory of hyperbolic dynamical systems
• The dimension of graph directed attractors with overlaps on the line, with an application to a problem in fractal image recognition
• Dimension of ergodic measures projected onto self‐similar sets with overlaps

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