QUASI-LOWER DIMENSION AND QUASI-LIPSCHITZ MAPPING

DOI10.1142/S0218348X17500347zbMath1371.28003MaRDI QIDQ5363869

Haipeng Chen, Chun Wei, Yali Du

Publication date: 2 October 2017

Published in: Fractals (Search for Journal in Brave)

zbMATH Keywords

sets defined by digit restrictionsquasi-Lipschitz mappingquasi-lower dimension

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Hausdorff and packing measures (28A78)

Related Items (12)

Intermediate Assouad-like dimensions ⋮ ASSOUAD DIMENSION AND SPECTRUM OF HOMOGENEOUS PERFECT SETS ⋮ INTERMEDIATE ASSOUAD-LIKE DIMENSIONS FOR MEASURES ⋮ Assouad-like dimensions of a class of random Moran measures. II: Non-homogeneous Moran sets ⋮ LOWER TYPE DIMENSIONS OF SOME MORAN SETS ⋮ THE THICKNESS AND QUASISYMMETRICAL EQUIVALENCE OF THE SETS DEFINED BY DIGIT RESTRICTIONS ⋮ LOWER ASSOUAD-TYPE DIMENSIONS OF UNIFORMLY PERFECT SETS IN DOUBLING METRIC SPACES ⋮ Box-counting dimensions of popcorn subsets ⋮ Almost sure Assouad-like dimensions of complementary sets ⋮ A CONSTRUCTION OF THE SCRAMBLED SET WITH FULL HAUSDORFF DIMENSION FOR BETA-TRANSFORMATIONS ⋮ ON QUASISYMMETRIC MINIMALITY OF HOMOGENEOUS PERFECT SETS ⋮ Assouad-like dimensions of a class of random Moran measures

Cites Work

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• Quasi-Assouad dimension of fractals
• Assouad dimensions of Moran sets and Cantor-like sets
• Some dimensional results for homogeneous Moran sets
• Relations among Whitney sets, self-similar arcs and quasi-arcs
• Lectures on analysis on metric spaces
• Quasi-Lipschitz equivalence of quasi Ahlfors-David regular sets
• Lower dimensions of some fractal sets
• Doubling measures on uniform Cantor sets
• Quasi-Lipschitz equivalence of fractals
• Fractals in Probability and Analysis
• Lipschitz equivalence of Cantor sets and algebraic properties of contraction ratios
• Assouad type dimensions and homogeneity of fractals
• REMARKS ON DIMENSIONS OF CARTESIAN PRODUCT SETS
• Some geometric properties of sets defined by digit restrictions
• On the Lipschitz equivalence of Cantor sets
• Classification of a quasi-circles by Hausdorff dimension
• Dimensions, Whitney covers, and tubular neighborhoods
• A New Theory of Dimension

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