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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Main Authors: | Qi-Rong Deng, Xiang-Yang Wang |
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Format: | Article |
Language: | English |
Published: |
Wiley
2015-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2015/573604 |
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