Weyl mean equicontinuity and Weyl mean sensitivity of a random dynamical system
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913262323367936 |
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| author | Lian, Yuan |
| author_facet | Lian, Yuan |
| contents | In this article, we introduce the concepts of Weyl mean equicontinuity and Weyl mean sensitivity of a random dynamical system associated to an infinite countable discrete amenable group action. We obtain the dichotomy result to Weyl mean equicontinuity and Weyl mean sensitivity of a random dynamical system when the corresponding skew product transformation is minimal and Ωis finite. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_07497 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weyl mean equicontinuity and Weyl mean sensitivity of a random dynamical system Lian, Yuan Dynamical Systems In this article, we introduce the concepts of Weyl mean equicontinuity and Weyl mean sensitivity of a random dynamical system associated to an infinite countable discrete amenable group action. We obtain the dichotomy result to Weyl mean equicontinuity and Weyl mean sensitivity of a random dynamical system when the corresponding skew product transformation is minimal and Ωis finite. |
| title | Weyl mean equicontinuity and Weyl mean sensitivity of a random dynamical system |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2403.07497 |