On the phenomenon of topological chaos and statistical triviality
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909276028534784 |
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| author | Liang, Chao Ren, Xiankun Sun, Wenxiang Vargas, Edson |
| author_facet | Liang, Chao Ren, Xiankun Sun, Wenxiang Vargas, Edson |
| contents | There exists a compact manifold so that the set of topologically chaotic but statistically trivial $C^{r} (1\leq r \leq \infty)$ vector fields on this manifold displays considerable scale in the view of dimension. More specifically, it contains an infinitely dimensional connected subset. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_00285 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the phenomenon of topological chaos and statistical triviality Liang, Chao Ren, Xiankun Sun, Wenxiang Vargas, Edson Dynamical Systems There exists a compact manifold so that the set of topologically chaotic but statistically trivial $C^{r} (1\leq r \leq \infty)$ vector fields on this manifold displays considerable scale in the view of dimension. More specifically, it contains an infinitely dimensional connected subset. |
| title | On the phenomenon of topological chaos and statistical triviality |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2408.00285 |