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Hausdorff Centered Measure of Uniform 3-part Cantor Set
Mei Feng DAI(1), Huo Jun RUAN(
Acta Mathematica Sinica, Chinese Series
2006, 49 (1):
11-18.
DOI: 10.12386/A2006sxxb0003
The uniform 3-part Cantor set K(λ, 3) is a self-similar fractal set satisfying the open set condition. In this paper, the exact value of the s-dimensional Hausdorff centered measure of K(λ,3) is given by computing the upper spherical density of a probability measure μ at point x, where s = logλ1/3 is the Hausdorff dimension of K(λ,3).
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