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| The Hausdorff Dimension of Sections |
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Citation： |
Min NIU,Lifeng XI.The Hausdorff Dimension of Sections[J].Chinese Annals of Mathematics B,2007,28(2):187~194 |
| Page view： 1141
Net amount： 865 |
Authors： |
Min NIU; Lifeng XI |
Foundation： |
the National Natural Science Foundation of China (No. 10301029, No. 10241003, No. 10671180, No. 10626003) and the Morningside Center of Mathematics, Beijing, China. |
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| Abstract： |
The notion of finite-type open set condition is defined to calculate the Hausdorff dimensions of the sections of some self-similar sets, such as the dimension of intersection of the Koch curve and the line $x=a$ with $a\in \mathbb{Q}$. |
Keywords： |
Hausdorff dimension, Self-similar set, Section, Open set condition |
Classification： |
28A80 |
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