期刊论文

Packing Dimensional Results for Homogeneous Moran Sets

中文

数学物理学报

1003-3998

2016

36

5

873-878

10.3969/j.issn.1003-3998.2016.05.006

国家自然科学基金

本校为第一机构

该文构造了一类特殊的齐次Moran集,称为{m_k}-拟齐次Cantor集,并讨论了它们的packing维数.通过调整序列{m_k}_(k≥1)的值,构造性证明了齐次Moran集packing维数的介值定理.此外,还得到了齐次Moran集的packing维数取得最小值的一个充分条件.

In this paper, we construct a class of special homogeneous Moran set, called {m_k}-quasi homogeneous Cantor set and discuss their packing dimensions. By adjusting the value of {m_k}_(k≥1), we constructively prove the intermediate value theorem about packing dimensions of the homogeneous Moran sets. Moreover, we obtain a sufficient condition that the packing dimension of ...