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Quasisymmetrically Minimal Moran Sets

  Published:2011-08-31
 Printed: Jun 2013
  • Mei-Feng Dai,
    Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, 212013, China
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Abstract

M. Hu and S. Wen considered quasisymmetrically minimal uniform Cantor sets of Hausdorff dimension $1$, where at the $k$-th set one removes from each interval $I$ a certain number $n_{k}$ of open subintervals of length $c_{k}|I|$, leaving $(n_{k}+1)$ closed subintervals of equal length. Quasisymmetrically Moran sets of Hausdorff dimension $1$ considered in the paper are more general than uniform Cantor sets in that neither the open subintervals nor the closed subintervals are required to be of equal length.
Keywords: quasisymmetric, Moran set, Hausdorff dimension quasisymmetric, Moran set, Hausdorff dimension
MSC Classifications: 28A80, 54C30 show english descriptions Fractals [See also 37Fxx]
Real-valued functions [See also 26-XX]
28A80 - Fractals [See also 37Fxx]
54C30 - Real-valued functions [See also 26-XX]
 

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