Non-affine fractal hypersurfaces: construction and dimensions
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909388211486720 |
|---|---|
| author | Hossain, A. Buescu, J. |
| author_facet | Hossain, A. Buescu, J. |
| contents | This article presents the construction of a non-affine hypersurface on an $n$-simplex in $\mathbb{R}^n$. Additionally, fractal dimension of the graph of a non-affine multivariate real-valued fractal function is estimated under certain conditions. Furthermore, the upper bound of the Hausdorff dimension of the invariant probability measure supported on the graph of such fractal function is estimated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_08591 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-affine fractal hypersurfaces: construction and dimensions Hossain, A. Buescu, J. Dynamical Systems Primary, 28A80, Secondary, 41A30, 37A50 This article presents the construction of a non-affine hypersurface on an $n$-simplex in $\mathbb{R}^n$. Additionally, fractal dimension of the graph of a non-affine multivariate real-valued fractal function is estimated under certain conditions. Furthermore, the upper bound of the Hausdorff dimension of the invariant probability measure supported on the graph of such fractal function is estimated. |
| title | Non-affine fractal hypersurfaces: construction and dimensions |
| topic | Dynamical Systems Primary, 28A80, Secondary, 41A30, 37A50 |
| url | https://arxiv.org/abs/2411.08591 |