Some relations in topological dynamics
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909230351515648 |
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| author | Auslander, Joseph Nagar, Anima |
| author_facet | Auslander, Joseph Nagar, Anima |
| contents | Relations always play an important role in the study of topological dynamics. Proximal, distal and almost periodic relations are well studied in literature. We further this direction and analogously study the strongly proximal and weakly distal relations.
This gives a new class of flows - the weakly distal flows. We observe that the well known Morse-Thue substitution flows and Chacon transformations are weakly distal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_16775 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Some relations in topological dynamics Auslander, Joseph Nagar, Anima Dynamical Systems 37B05 Relations always play an important role in the study of topological dynamics. Proximal, distal and almost periodic relations are well studied in literature. We further this direction and analogously study the strongly proximal and weakly distal relations. This gives a new class of flows - the weakly distal flows. We observe that the well known Morse-Thue substitution flows and Chacon transformations are weakly distal. |
| title | Some relations in topological dynamics |
| topic | Dynamical Systems 37B05 |
| url | https://arxiv.org/abs/2406.16775 |