华中师范大学学报（自然科学版）2011，Vol.45Issue(2)：183-185,3.
R2中一类齐次Moran集的Hausdorff维数
The Hausdorff dimension of some homogeneous Moran sets in R2
摘要
Abstract
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 discusses the Moran sets E ∈M(I{ni},{l I}), it gets their Hausdorff dimension dimHE = lim/k→∞ logl1l2…lk/logn1n2…nk.关键词
位势理论/齐次Moran集/Hausdorff维数Key words
potential theoretic methods/ homogeneous Moran sets/ Hausdorff dimension分类
数理科学引用本文复制引用
党云贵,刘雁鸣..R2中一类齐次Moran集的Hausdorff维数[J].华中师范大学学报（自然科学版）,2011,45(2):183-185,3.基金项目
国家自然科学基金项目(10771082). （10771082）
