Dynamical displacements, persistence and semiconjugacies
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914642008211456 |
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| author | Boyland, Philip |
| author_facet | Boyland, Philip |
| contents | This survey gives a unified treatment of topics from Abelian and non-Abelian Nielsen Theory integrated with the semiconjugacy theorems of Franks and Handel. The main focus is to develop an analog of the rotation set that is valid when the dynamics are not isotopic to the identity and to connect this theory to the dynamical persistence under homotopy/isotopy intrinsic in the theorems of Franks and Handel. For this dynamical persistence, expansion/hyperbolicity at some scale is essential. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07412 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dynamical displacements, persistence and semiconjugacies Boyland, Philip Dynamical Systems 37E45, 37B65 This survey gives a unified treatment of topics from Abelian and non-Abelian Nielsen Theory integrated with the semiconjugacy theorems of Franks and Handel. The main focus is to develop an analog of the rotation set that is valid when the dynamics are not isotopic to the identity and to connect this theory to the dynamical persistence under homotopy/isotopy intrinsic in the theorems of Franks and Handel. For this dynamical persistence, expansion/hyperbolicity at some scale is essential. |
| title | Dynamical displacements, persistence and semiconjugacies |
| topic | Dynamical Systems 37E45, 37B65 |
| url | https://arxiv.org/abs/2401.07412 |