期刊论文

中文

华中师范大学学报(自然科学版)

1000-1190

2011

45

2

183-185

10.19603/j.cnki.1000-1190.2011.02.004

基金项目：国家自然科学基金项目（10771082）.

本校为第一机构

设I为平面上的单位正方形,{m}_k≥1为正整数序列,对任意的正整数k,n_k≥2;{l_k}_k≥1也为正整数序列;在I上构造的Moran集类记为M(I,{n_k),{l_k})．应用位势原理证明了对任意的集合E∈M(I,{n_k},{l_k}),它的Hausdorff维数为dim_HE = lim/k→∞ logl_1l_2…l_k/logn_1n_2…n_k·

Suppose I is an unit square on the plane, {nk}k≥1 is a sequence of positive integers with nk≥2 for all positive integer k, and {lk }k≥1 is a sequence of positive integers. Some classes of homogenous Moran sets which are constructed on I will be denoted by M（I,{nk } ,{lk }）. This paper discu：sses the Moran sets EEM（I, {nt}, {lk}）, it gets their Hausdorff dimension di...