摘要
设I为平面上的单位正方形,{n_k}_(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(J,{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 dimHE=lim/k→∞ logl1l2…lk/logn1n2…nk.
出处
《华中师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2011年第2期183-185,共3页
Journal of Central China Normal University：Natural Sciences
基金
国家自然科学基金项目(10771082)
