Quasisymmetrically Minimal Moran Sets
Canadian mathematical bulletin, Tome 56 (2013) no. 2, pp. 292-305
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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 ${{c}_{k}}\left| I \right|$ , leaving $\left( {{n}_{k}}\,+\,1 \right)$ 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.
Mots-clés :
28A80, 54C30, quasisymmetric, Moran set, Hausdorff dimension
Dai, Mei-Feng. Quasisymmetrically Minimal Moran Sets. Canadian mathematical bulletin, Tome 56 (2013) no. 2, pp. 292-305. doi: 10.4153/CMB-2011-164-2
@article{10_4153_CMB_2011_164_2,
author = {Dai, Mei-Feng},
title = {Quasisymmetrically {Minimal} {Moran} {Sets}},
journal = {Canadian mathematical bulletin},
pages = {292--305},
year = {2013},
volume = {56},
number = {2},
doi = {10.4153/CMB-2011-164-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-164-2/}
}
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