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: | , , |
|---|---|
| Format: | info:eu-repo/semantics/article |
| Language: | English |
| Published: |
MDPI
2020
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/10835/7577 |