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Property of self-similar-like set

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Abstract

Self-similar sets (SSS) are the most important class of Fractals and play an important role in the studies in Fractal. In this note, we introduce self-similar-like sets (SSLS) which generalize self-similar sets, we will show some properties of SSLS which distinguish essentially that of SSS, and we will give also some applications of SSLS.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China

    Zhi-ying Wen

  2. National Education Examinations Authority, Beijing, 100084, China

    Xuan Zhao

Authors
  1. Zhi-ying Wen
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  2. Xuan Zhao
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Corresponding author

Correspondence to Xuan Zhao.

Additional information

Supported by the National Natural Science Foundation of China (No. 61071066).

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Wen, Zy., Zhao, X. Property of self-similar-like set. Acta Math. Appl. Sin. Engl. Ser. 31, 375–386 (2015). https://doi.org/10.1007/s10255-015-0469-1

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  • DOI: https://doi.org/10.1007/s10255-015-0469-1

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