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Self-similar structure on intersections of triadic Cantor sets |
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| Authors: | Guo-Tai Deng Xing-Gang He Zhi-Xiong Wen |
| Affiliation: | a Department of Mathematics, Wuhan University, Wuhan 430072, PR China b Department of Mathematics, Central China Normal University, Wuhan 430079, PR China c Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, PR China |
| Abstract: | Let C be the triadic Cantor set. We characterize the all real number α such that the intersection C∩(C+α) is a self-similar set, and investigate the form and structure of the all iterated function systems which generate the self-similar set. |
| Keywords: | Cantor set Iterated function system Self-similar set |
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