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一类d-维齐次Moran集的维数结果

Some Dimensional Results of a Class of d-Dimensional Homogeneous Moran Set
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摘要 本文构造了一类特殊的d-维齐次Moran集:{m^(d)_(k)}-拟齐次完全集,并在一定的条件下得到它们的Hausdorff维数和上盒维数. In this paper,we construct a special class of d-dimensional homogeneous Moran sets which is called the{m^(d)_(k)}-quasi-homogeneous perfect sets and obtain some results of their Hausdorff dimensions and upper box dimensions.
作者 刘世双 蔡畅 李彦哲 LIU Shishuang;CAI Chang;LI Yanzhe(College of Mathematics and Information Science,Guangxi University,Nanning 530004,China)
出处 《应用数学》 北大核心 2023年第3期719-728,共10页 Mathematica Applicata
基金 国家自然科学基金(11901121) 广西自然科学基金(2020GXNSFBA297040)。
关键词 齐次MORAN集 {m^(d)_(k)}-拟齐次完全集 HAUSDORFF维数 上盒维数 Homogeneous Moran set {m^(d)_(k)}-quasi-homogeneous perfect set Hausdorff dimension Upper box dimension
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