Trees with Non-regular Fractal Boundary

被引：0

作者：

Jing Hu YU Department of Mathematics

机构：

来源：

Acta Mathematica Sinica(English Series) | 2008年 / 24卷 / 08期

基金：

美国国家科学基金会;

关键词：

tree; boundary; fractal; dimensions; non-regularity; recursive structures;

D O I：

暂无

中图分类号：

O189.11 [拓扑空间（空间拓扑）];

学科分类号：

070104 ;

摘要：

For any given 0<β<α<∞,we construct a tree such that under tree metric,theHausdorff dimension of the corresponding boundary is α,but both the Packing dimension and theboxing dimension are β.Applying the connection between tree and iterated functions system,non-regular fractal sets on real line are constructed.Moreover,the method adopted in our paper is differentfrom those which have been used before for constructing non-regular fractal set in general metric space.

引用

页码：1345 / 1350

页数：6

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