Rigidity theorem for self-affine arcs

DOI10.1134/S1064562421020058zbMath1483.28010OpenAlexW3197486249MaRDI QIDQ2243858

Yanyan Li

Publication date: 11 November 2021

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562421020058

zbMATH Keywords

attractorrigidity theoremweak separation propertyself-affine arc

Mathematics Subject Classification ID

Fractals (28A80) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25)

Related Items (1)

On the structure of self-affine Jordan arcs in \(\mathbb{R}^2\)

Cites Work

• On the rigidity of one-dimensional systems of contraction similitudes
• Differentiability of fractal curves
• Weak separation properties for self-similar sets
• Self-Similar Sets 7. A Characterization of Self-Similar Fractals with Positive Hausdorff Measure
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