REMARKS ON DIMENSIONS OF CARTESIAN PRODUCT SETS

DOI10.1142/S0218348X16500316zbMath1354.28003arXiv1501.01713OpenAlexW3106468009MaRDI QIDQ2953414

Zhi Xiong Wen, Sheng You Wen, Chun Wei

Publication date: 4 January 2017

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.01713

zbMATH Keywords

Hausdorff dimensionpacking dimensionCartesian productsbox-counting dimension

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (12)

Some geometric properties of sets defined by digit restrictions ⋮ On the Hewitt-Stromberg measure of product sets ⋮ THE THICKNESS AND QUASISYMMETRICAL EQUIVALENCE OF THE SETS DEFINED BY DIGIT RESTRICTIONS ⋮ On Assouad dimension of products ⋮ The irregular set for maps with almost weak specification property has full metric mean dimension ⋮ QUASI-LOWER DIMENSION AND QUASI-LIPSCHITZ MAPPING ⋮ Box-counting dimensions of popcorn subsets ⋮ A note on fractal measures and Cartesian product sets ⋮ Genericity of continuous maps with positive metric mean dimension ⋮ How to avoid a compact set ⋮ AN INTERMEDIATE VALUE PROPERTY OF FRACTAL DIMENSIONS OF CARTESIAN PRODUCT ⋮ The continuity of dimensions and quasisymmetrical equivalence of parameterized homogeneous Moran sets

Cites Work

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• On Assouad dimension of products
• On Hausdorff and packing dimension of product spaces
• ON THE DIMENSION OF SELF-SIMILAR SETS
• The Measure of Product and Cylinder Sets

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