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| Dimensions of Self-Affine Sets with Overlaps |
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Citation： |
HUA Su.Dimensions of Self-Affine Sets with Overlaps[J].Chinese Annals of Mathematics B,2003,24(3):275~284 |
| Page view： 1245
Net amount： 959 |
Authors： |
HUA Su; |
Foundation： |
Project supported by the National Natural Science Foundation of China. |
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| Abstract： |
The authors 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 determined. |
Keywords： |
Self-affine set, Overlap, Hausdorff dimension, Minkowski dimension |
Classification： |
28A80, 28A78 |
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