Constructing bi-Lipschitz maps between Bedford-McMullen carpets via symbolic spaces

DOI10.1016/j.jmaa.2023.127514OpenAlexW4380320037MaRDI QIDQ6115673

Yuan Zhang, Ya-min Yang

Publication date: 10 August 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127514

zbMATH Keywords

symbolic spaceBedford-McMullen carpetvertical separation condition

Mathematics Subject Classification ID

Graph theory (05Cxx) Functions of one variable (26Axx) Classical measure theory (28Axx)

Cites Work

• Unnamed Item
• 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
• Lipschitz equivalence of Cantor sets and algebraic properties of contraction ratios
• Gap sequences of McMullen sets
• The Hausdorff dimension of general Sierpiński carpets
• 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

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