DIMENSION OF SLICES THROUGH A SELF-SIMILAR SET WITH INITIAL CUBIC PATTERN

被引：3

作者：

Wen, Zhixiong ^{[1
]}

Wu, Wen ^{[1
]}

Xi, Lifeng ^{[2
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China

[2] Zhejiang Wanli Univ, Inst Math, Ningbo 315100, Zhejiang, Peoples R China

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2013年 / 38卷 / 02期

关键词：

Self-similar set; slice; Hausdorff dimension; box dimension;

D O I：

10.5186/aasfm.2013.3836

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give a sufficient condition to ensure that the typical Hausdorff dimension of slices through a self-similar set in a fixed direction takes the value in Marstrand's theorem, i.e., the dimension of the self-similar set minus one.

引用

页码：473 / 487

页数：15

共 12 条

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