Hausdorff dimension and quasisymmetric minimality of homogeneous Moran sets

In this paper, we study the quasisymmetric Hausdorff minimality of homogeneous Moran sets. First, we obtain the Hausdorff dimension formula of two classes of homogeneous Moran sets which satisfy some conditions. Second, we show two special classes of homogeneous Moran sets with Hausdorff dimension 1 are quasisymmetrically Hausdorff minimal.

Publication Details

Journal
ArXiv.org
Published
2025-10-01
Primary Topic
Mathematical Dynamics and Fractals
Type
article
Field-Weighted Citation Impact
0.00

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article

Hausdorff dimension and quasisymmetric minimality of homogeneous Moran sets

ArXiv.org
Mathematical Dynamics and Fractals
article

Hausdorff dimension and quasisymmetric minimality of homogeneous Moran sets

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Abstract

In this paper, we study the quasisymmetric Hausdorff minimality of homogeneous Moran sets. First, we obtain the Hausdorff dimension formula of two classes of homogeneous Moran sets which satisfy some conditions. Second, we show two special classes of homogeneous Moran sets with Hausdorff dimension 1 are quasisymmetrically Hausdorff minimal.

ArXiv.org
National Natural Science Foundation of China, Natural Science Foundation of Guangxi Province
Openalex Percentile: Top 42%
Mathematical Dynamics and Fractals
Open Access PDFOpenAlex
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Hausdorff dimension and quasisymmetric minimality of homogeneous Moran sets · ArXiv.org (2025) | TGRS Research Map | TGRS