Lipschitz classification of Bedford-McMullen carpets with locally uniform horizontal fibers

DOI10.1016/J.TOPOL.2024.108906MaRDI QIDQ6541998

Yuan Zhang, Liang-yi Huang

Publication date: 21 May 2024

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

symbolic spaceBedford-McMullen carpetlocally uniform horizontal fibers condition

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Fractals (28A80)

Cites Work

• Lipschitz equivalence of self-similar sets
• Self-similar sets with initial cubic patterns
• The singularity spectrum for general Sierpiński carpets
• Lipschitz classification of Bedford-McMullen carpets with uniform horizontal fibers
• Relations between topological and metrical properties of self-affine Sierpiński sponges
• Doubling property of self-affine measures on carpets of Bedford and McMullen
• Lipschitz equivalence of Cantor sets and algebraic properties of contraction ratios
• Gap sequences of McMullen sets
• Multifractal analysis for Bedford–McMullen carpets
• The Hausdorff dimension of general Sierpiński carpets
• Assouad-type spectra for some fractal families
• Algebraic criteria for Lipschitz equivalence of dust‐like self‐similar sets
• Self‐similar sets, simple augmented trees and their Lipschitz equivalence
• LIPSCHITZ EQUIVALENCE OF MCMULLEN SETS
• Constructing bi-Lipschitz maps between Bedford-McMullen carpets via symbolic spaces

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