Hausdorff dimension of fiber-coding sub-Sierpiński carpets (Q879088)
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scientific article; zbMATH DE number 5149546
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hausdorff dimension of fiber-coding sub-Sierpiński carpets |
scientific article; zbMATH DE number 5149546 |
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Hausdorff dimension of fiber-coding sub-Sierpiński carpets (English)
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4 May 2007
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The authors determine the Hausdorff and packing dimension of a class of subsets of Sierpiński carpets of which the allowed digits in the expansions fall into each fiber with a prescribed frequency; the authors give also necessary and sufficient conditions such that the corresponding Hausdorff and packing measures are finite. The results extend some results of A. Nielson.
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Sierpiński carpets
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Hausdorff dimension, packing dimension
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