On the Lebesgue measure of self-affine sets (Q2776895)
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scientific article; zbMATH DE number 1716883
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Lebesgue measure of self-affine sets |
scientific article; zbMATH DE number 1716883 |
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17 November 2002
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iterated function systems
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self-affine sets
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tilings
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0.9790584
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0.9574578
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0.94209516
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0.9364311
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0.9351538
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0.92953897
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0.92826027
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0.9254923
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On the Lebesgue measure of self-affine sets (English)
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Sufficient conditions in terms of the digit set are supplied for certain classes of self-affine multi-sets to have positive Lebesgue measure. The main theorem generalizes a previous result by \textit{C. Bandt} [Nato ASI Ser., Ser. C, Math. Phys. Sci. 489, 45-83 (1997; Zbl 0891.58018)].
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