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arXiv · 2408.00285

On the phenomenon of topological chaos and statistical triviality

Chao Liang·Xiankun Ren·Wenxiang Sun·Edson Vargas
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Abstract

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.

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Chao Liang, Xiankun Ren, Wenxiang Sun, Edson Vargas. 2024-08-01. On the phenomenon of topological chaos and statistical triviality. https://arxiv.org/abs/2408.00285

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