Intersections of homogeneous Cantor sets with their translations (Q2519338)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Intersections of homogeneous Cantor sets with their translations |
scientific article |
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Intersections of homogeneous Cantor sets with their translations (English)
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26 January 2009
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The author pursues the study on homogeneous Cantor sts \(E\) with their translations \(E+t\). The fractal structure and the Hausdorff dimension of the intersection \(T(t)=E\cap (E+t)\) are given. Then it is found the Hausdorff measure of \(I(t)\) is not continuous with \(t\), and forms a discrete spectrum. Finally, a very brief calculation formula of the measure with the code \(t\) is given.
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Homogeneous Cantor set
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intersection
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fractal structure
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discrete spectrum
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