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Sierpinski圆垫片的Hausdorff测度
THE HAUSDORFF MEASURE OF THE SIERPINSKI CARPET ON CIRCLE
【摘要】 从构造Sierpinski圆垫片出发 ,在一般意义下讨论了有关自相似集的Hausdorff测度的计算问题 ,并给出刚性与非刚性自相似集的等价关系 ,获得了更广泛一类自相似集的Hausdorff测度
【Abstract】 Take use of the self-similarity construction of the Sierpinski carpet on circle,a computation formula for general fractals was obtained.The equivalence relation of both the stiff self-similarity set and non-stiff self-similarity set was given also.As an application,the Hausdorff measures of some self-similarity set were achieved.
【关键词】 Sierpinski圆垫片;
刚性;
非刚性;
自相似集;
Hausdorff维数和测度;
收缩覆盖;
【Key words】 Sierpinski carpet on circle; stiff; non-stiff; self-similarity; Hausdorff; dimension; measure; deflation covering;
【Key words】 Sierpinski carpet on circle; stiff; non-stiff; self-similarity; Hausdorff; dimension; measure; deflation covering;
【基金】 湖北省高教科研经费赞助项目
- 【文献出处】 荆州师范学院学报 ,Journal of Jingzhou Teachers College , 编辑部邮箱 ,2001年02期
- 【分类号】O174.12
- 【被引频次】1
- 【下载频次】21