Exact Hausdorff Centred Measure of the Cartesian Product of the Symmetric Perfect Set with Itself

The determination of the exact Hausdorff centred measure of a fractal set is a difficult and important problem in fractal geometry. In this paper we investigate the exact computation of the Hausdorff centred measure for the Cartesian product of the symmetric perfect set with itself, and an explicit calculating formula is given.

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Publication Details

Journal
Fractals
Published
2026-07-17
DOI
https://doi.org/10.1142/s0218348x26501240
Primary Topic
Mathematical Dynamics and Fractals
Type
article
Field-Weighted Citation Impact
0.00
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article

Exact Hausdorff Centred Measure of the Cartesian Product of the Symmetric Perfect Set with Itself

Cheng-qin Qu, Qing-Qing Liu, Wen Ye
Fractals
Mathematical Dynamics and Fractals
article

Exact Hausdorff Centred Measure of the Cartesian Product of the Symmetric Perfect Set with Itself

Cheng-qin Qu, Qing-Qing Liu, Wen Ye
article en

Abstract

The determination of the exact Hausdorff centred measure of a fractal set is a difficult and important problem in fractal geometry. In this paper we investigate the exact computation of the Hausdorff centred measure for the Cartesian product of the symmetric perfect set with itself, and an explicit calculating formula is given.

Fractals
Reduced inequalities
Openalex Percentile: Top 4%
Mathematical Dynamics and Fractals
DOISourceOpenAlex
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Exact Hausdorff Centred Measure of the Cartesian Product of the Symmetric Perfect Set with Itself — Cheng-qin Qu, Qing-Qing Liu, et al. · Fractals (2026) | TGRS Research Map | TGRS