LIPSCHITZ EQUIVALENCE OF MCMULLEN SETS

DOI10.1142/S0218348X13500229zbMath1290.28012MaRDI QIDQ5417521

Wenxia Li, Jun-Jie Miao, Boming Li

Publication date: 21 May 2014

Published in: Fractals (Search for Journal in Brave)

zbMATH Keywords

fractalLipschitz equivalenceself-affineMcMullen set

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (15)

Conditional bi-Lipschitz equivalence of self-similar sets ⋮ Lipschitz equivalence of self-similar sets with two-state neighbor automaton ⋮ Gap sequences and Topological properties of Bedford–McMullen sets* ⋮ Relations between topological and metrical properties of self-affine Sierpiński sponges ⋮ Distribution of \(\delta \)-connected components of self-affine sponges of Lalley-Gatzouras type ⋮ Constructing bi-Lipschitz maps between Bedford-McMullen carpets via symbolic spaces ⋮ Gap sequences of McMullen sets ⋮ Isomorphism and bi-Lipschitz equivalence between the univoque sets ⋮ SELF-SIMILAR SUBSETS OF SYMMETRIC CANTOR SETS ⋮ ASSOUAD-MINIMALITY OF MORAN SETS UNDER QUASI-LIPSCHITZ MAPPINGS ⋮ Assouad-type spectra for some fractal families ⋮ Lipschitz classification of Bedford-McMullen carpets with uniform horizontal fibers ⋮ Interpolating between dimensions ⋮ Higher dimensional Frobenius problem and Lipschitz equivalence of Cantor sets ⋮ RESONANCE BETWEEN SELF-SIMILAR SETS AND THEIR UNIVOQUE SETS

Cites Work

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• Lipschitz equivalence of fractals generated by nested cubes
• Lipschitz equivalence of a class of general Sierpinski carpets
• Lipschitz equivalence of dust-like self-similar sets
• Lipschitz equivalence of self-similar sets
• Self-similar sets with initial cubic patterns
• Sliding of self-similar sets
• Lipschitz equivalence of generalized \(\{1,3,5\}-\{1,4,5\}\) self-similar sets
• Quasi-Lipschitz equivalence of fractals
• Lipschitz equivalence of Cantor sets and algebraic properties of contraction ratios
• The Hausdorff dimension of general Sierpiński carpets
• Lipschitz equivalence of graph-directed fractals
• Lipschitz equivalence of subsets of self-conformal sets
• On the Lipschitz equivalence of Cantor sets
• LIPSCHITZ EQUIVALENCE OF SELF-CONFORMAL SETS
• Classification of a quasi-circles by Hausdorff dimension

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