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On the Boundary of Self-Affine Sets

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 com...

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Hlavní autoři: Qi-Rong Deng, Xiang-Yang Wang
Médium: Artigo
Jazyk:Inglês
Vydáno: Wiley 2015-01-01
Edice:Abstract and Applied Analysis
On-line přístup:http://dx.doi.org/10.1155/2015/573604
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