On the boundary of self-affine sets (Q305008)
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scientific article; zbMATH DE number 6619914
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the boundary of self-affine sets |
scientific article; zbMATH DE number 6619914 |
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On the boundary of self-affine sets (English)
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26 August 2016
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Summary: This paper is devoted to studying the boundary behavior of self-affine sets. We prove that the boundary of an integral self-affine set has Lebesgue measure zero. In addition, we consider the variety of the boundary of a self-affine set when some other contractive maps are added. We show that the complexity of the boundary of the new self-affine set may be the same, more complex, or simpler; any one of the three cases is possible.
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