| HAUSDORFF DIMENSION OF GENERALIZED STATISTICALLY SELF-AFFINE FRACTALS |
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| 作者姓名： | 余旌胡 丁立新 |
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| 作者单位： | [1]WuhanInstituteofPhysicsandMathematics,TheChineseAcademyofSciences,Wuhan430071,China [2]StateKeyLaboratoryofSoftwareEngineering,WuhanUniversity,Wuhan430072,China |
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| 基金项目： | 国家自然科学基金，湖北省武汉市青年科技"晨光计划"项目 |
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| 摘 要： | The authors consider generalized statistically self-affine recursive fractals K with random numbers of subsets on each level. They obtain the Hausdorff dimensions of K without considering whether the subsets on each level are non-overlapping or not. They also give some examples to show that many important sets are the special cases of their models.
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| 关 键 词： | 自仿射收缩映射 后弯曲统计集 Hausdorff测度 Hausdorff元 单一价值函数 几何 |
| 收稿时间： | 5 July 2002 |
HAUSDORFF DIMENSION OF GENERALIZED STATISTICALLY SELF-AFFINE FRACTALS |
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| Yu Jinghu
Wuhan Institute of Physics and Mathematics,The Chinese Academy of Sciences,Wuhan ,China
E-mail: yujhQwipm.ac.cn
Ding Lixin State Key Laboratory of Software Engineering,Wuhan University,Wuhan ,China.HAUSDORFF DIMENSION OF GENERALIZED STATISTICALLY SELF-AFFINE FRACTALS[J].Acta Mathematica Scientia,2004,24(3):421-433. |
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| Authors: | Yu Jinghu
Wuhan Institute of Physics and Mathematics The Chinese Academy of Sciences Wuhan China
E-mail: yujhQwipmaccn
Ding Lixin State Key Laboratory of Software Engineering Wuhan University Wuhan China |
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| Institution: | Yu Jinghu
Wuhan Institute of Physics and Mathematics,The Chinese Academy of Sciences,Wuhan 430071,China
E-mail: yujhQwipm.ac.cn
Ding Lixin State Key Laboratory of Software Engineering,Wuhan University,Wuhan 430072,China |
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| Abstract: | The authors consider generalized statistically self-affine recursive fractals K with random numbers of subsets on each level. They obtain the Hausdorff dimensions of K without considering whether the subsets on each level are non-overlapping or not. They also give some examples to show that many important sets are the special cases of their models. |
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| Keywords: | Self-affine contraction map statistically recursive set statistically self-affine set Hausdorff measure Hausdorff dimension singular value function |
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