Calculating Hausdorff Dimension in Higher Dimensional Spaces
In this paper, we prove the identity dimH(F)=d⋅dimH(α−1(F)) , where dimH denotes Hausdorff dimension, F⊆Rd , and α:[0,1]→[0,1]d is a function whose constructive definition is addressed from the viewpoint of the powerful concept of a fractal structure. Such a result stands particularly from some othe...
| Main Authors: | , , |
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| 格式: | info:eu-repo/semantics/article |
| 语言: | English |
| 出版: |
MDPI
2020
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| 主题: | |
| 在线阅读: | http://hdl.handle.net/10835/7577 |