Dimensions of a class of high-dimensional homogeneous Moran sets and Moran classes

Dimensions of a class of high-dimensional homogeneous Moran sets and Moran classes

佚名

【期刊名称】《自然科学进展（英文版）》 【年(卷),期】2002(012)009

【摘要】A class of high-dimensional homogeneous Moran sets and Moran classes are introduced and some dimensional properties are studied. The Hausdorff dimension, modified lower box-counting dimension, lower and upper box-counting dimension, and packing dimension

of

high-dimensional

homogeneous

and

partial

homogeneous Cantor sets are determined. Moreover, a kind of fractal E is obtained, which is not regular but with the property Dimw(Ed)=dDimw(E), where w denotes any of the dimensions mentioned above. 【总页数】6页(655-660)

【关键词】Moran set;Moran class;homogeneous Cantor set;partial homogeneous Cantor set;dimension 【作者】佚名

【作者单位】Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China 【正文语种】中文 【中图分类】O1