On the group of isometries of planar IFS fractals*

DOI10.1088/1361-6544/ac3924zbMath1489.28005OpenAlexW4200524382MaRDI QIDQ5019944

Yong-Hua Yao, Qi-Rong Deng

Publication date: 11 January 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/ac3924

zbMATH Keywords

isometryiterated function systemplanarself-similarbi-Lipschitzself-affine

Mathematics Subject Classification ID

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

Cites Work

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• The group of isometries of a self-similar set
• Structure of the class of iterated function systems that generate the same self-similar set
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• Gap property of bi-Lipschitz constants of bi-Lipschitz automorphisms on self-similar sets
• On the equivalence of homogeneous iterated function systems
• Self-affine sets in analytic curves and algebraic surfaces
• The intersections of self-similar and self-affine sets with their perturbations under the weak separation condition
• Manifold Mirrors
• Lie Groups, Lie Algebras, and Representations
• Symmetry and enumeration of self-similar fractals

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