| DIMENSIONS OF SELF-AFFINE SETS WITH OVERLAPS |
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| 作者姓名： | HUA Su |
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| 作者单位： | HUA Su Department of Mathematics，Tsinghua University，Beijing 100084，China. |
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| 基金项目： | Project supported by the National Natural Science Foundation of China. |
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| 摘 要： | The authors develop an algorithm to show that a class of self-affine sets with overlaps canbe viewed as sofic affine-invariant sets without overlaps,thus by using the results of 11]and10],the Hausdorff and Minkowski dimensions are determined.
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| 关 键 词： | 自仿射集合 交叠 Hausdorff维数 Minkowski维数 环面 有向图 不变集 算法 |
| 收稿时间： | 9/2/2006 12:00:00 AM |
| 修稿时间： | 2002/12/2 0:00:00 |
Dimensions of Self-Affine Sets with Overlaps |
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| HUA Su.DIMENSIONS OF SELF-AFFINE SETS WITH OVERLAPS[J].Chinese Annals of Mathematics,Series B,2003,24(3):275-284. |
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| Authors: | HUA Su |
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| Institution: | Department of Mathematics, Tsinghua University, Beijing 100084, China |
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| Abstract: | The authora develop an algorithm to show that a class of self-affine sets with overlaps can be viewed as sofic affine-invariant sets without overlaps,thus by using the results of 11] and 10],the hausdorff and minkowski dimensions are detemined |
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| Keywords: | self-affine set overlap hausdorff dimension minkowski dimension |
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