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2015 On the Boundary of Self-Affine Sets
Qi-Rong Deng, Xiang-Yang Wang
Abstr. Appl. Anal. 2015: 1-3 (2015). DOI: 10.1155/2015/573604


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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Qi-Rong Deng. Xiang-Yang Wang. "On the Boundary of Self-Affine Sets." Abstr. Appl. Anal. 2015 1 - 3, 2015.


Published: 2015
First available in Project Euclid: 15 April 2015

zbMATH: 1345.28015
MathSciNet: MR3319146
Digital Object Identifier: 10.1155/2015/573604

Rights: Copyright © 2015 Hindawi

Vol.2015 • 2015
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