On the exact Hausdorff measure of a class of self-similar sets satisfying open set condition |
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| Authors: | Shaoyuan Xu Weiyi Su Zuoling Zhou |
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| Affiliation: | [1]Huaibei Coal Industry Teachers College, China [2]Nanjing University, China [3]Zhongshan University, China |
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| Abstract: | ![]()
In this paper,we provide a new effective method for computing the exact value of Hausdorff measures of a class of self-similar sets satisfying the open set condition(OSC).As applications,we discuss a self-similar Cantor set satisfying OSC and give a simple method for computing its exact Hausdorff measure. |
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| Keywords: | self-similar set Hausdorff measure and Hausdorff dimension open set condition |
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