| 摘要: |
| 本文研究了一类特殊的齐次Moran集的维数.将齐次均匀Cantor集通过一系列平移,获得了一类特殊的齐次Moran集并得到了它们维数的精确值,推广了齐次均匀Cantor集维数的计算公式. |
| 关键词: 齐次均匀康托集 齐次Moran集 Hausdorff维数 |
| DOI： |
| 分类号:O174.12 |
| 基金项目: |
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| THE HAUSDORFF DIMENSION OF A CLASS OF HOMOGENEOUS MORAN SETS |
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LIU Xiao-li, LIU Wei-bin
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School of Mathematics and Statistics, Wuhan University, Wuhan 430027, China
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| Abstract: |
| In this paper, we study the dimension of a class of special homogeneous Moran sets. By using through a series of translation of the Cantor sets, we get a special class of homogeneous Moran sets and their precise dimension values which promotes the dimension formula of the uniform homogeneous Cantor sets. |
| Key words: homogeneous Cantor set homogeneous Moran set Hausdorff dimension |
