Characterizations of contracting Hurwitz bisets
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912456270413824 |
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| author | Parry, Walter Pilgrim, Kevin M. |
| author_facet | Parry, Walter Pilgrim, Kevin M. |
| contents | A critically finite branched self-cover $f: (S^2, P) \to (S^2, P)$ determines naturally three iterated function systems: one on the pure mapping class group of the sphere marked at $P$, one on the Teichmüller space of the sphere marked at $P$, and one on a finite-dimensional real vector space. We show that contraction for any one of these systems implies contraction for the others. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_23222 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Characterizations of contracting Hurwitz bisets Parry, Walter Pilgrim, Kevin M. Dynamical Systems Group Theory 37F A critically finite branched self-cover $f: (S^2, P) \to (S^2, P)$ determines naturally three iterated function systems: one on the pure mapping class group of the sphere marked at $P$, one on the Teichmüller space of the sphere marked at $P$, and one on a finite-dimensional real vector space. We show that contraction for any one of these systems implies contraction for the others. |
| title | Characterizations of contracting Hurwitz bisets |
| topic | Dynamical Systems Group Theory 37F |
| url | https://arxiv.org/abs/2506.23222 |