A random version of McMullen-Bedford general Sierpinski carpets and its application

被引：12
作者：
Gui, Yongxin [1 ,2 ]
Li, Wenxia [1 ]
机构：
[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China
[2] Xianning Coll, Dept Math, Xianning 437005, Peoples R China
来源：
NONLINEARITY | 2008年 / 21卷 / 08期
关键词：
D O I：
10.1088/0951-7715/21/8/004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a random version of the McMullen-Bedford general Sierpinski carpet which is constructed by randomly choosing patterns in each step instead of a single pattern in its original form. Their Hausdorff, packing and box-counting dimensions are determined. A sufficient condition and a necessary condition for the Hausdorff measures in their dimensions to be positive are given. As an application, we discuss the issue on the intersection of the general Sierpinski carpet with its translations.
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页码：1745 / 1758
页数：14
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