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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.13489 |
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| _version_ | 1866912115163398144 |
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| author | Li, Xianqiang Luo, Xiaofang |
| author_facet | Li, Xianqiang Luo, Xiaofang |
| contents | For the countable discrete amenable group actions, we calculate the mean Hausdorff dimensions of three types of infinite dimensional fractal systems, the self-similar systems, homogeneous systems in the infinite-dimensional torus, and the infinite dimensional-carpets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13489 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mean Hausdorff Dimension of Some Infinite Dimensional Fractals for Amenable Group Actions Li, Xianqiang Luo, Xiaofang Dynamical Systems For the countable discrete amenable group actions, we calculate the mean Hausdorff dimensions of three types of infinite dimensional fractal systems, the self-similar systems, homogeneous systems in the infinite-dimensional torus, and the infinite dimensional-carpets. |
| title | Mean Hausdorff Dimension of Some Infinite Dimensional Fractals for Amenable Group Actions |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2407.13489 |