Function theory, Dynamics and Ergodic theory via Thurston theory
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913962462806016 |
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| author | Miyachi, Hideki |
| author_facet | Miyachi, Hideki |
| contents | In this paper, we discuss function theory on Teichmüller space through Thurston's theory, as well as the dynamics of subgroups of the mapping class group of a surface, with reference to Sullivan's theory on the ergodic actions of discrete subgroups of the isometry group of hyperbolic space at infinity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_20912 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Function theory, Dynamics and Ergodic theory via Thurston theory Miyachi, Hideki Complex Variables General Topology Geometric Topology 32G05, 32G15, 32U35, 57M50, 57R30, 58F11, 22E40 In this paper, we discuss function theory on Teichmüller space through Thurston's theory, as well as the dynamics of subgroups of the mapping class group of a surface, with reference to Sullivan's theory on the ergodic actions of discrete subgroups of the isometry group of hyperbolic space at infinity. |
| title | Function theory, Dynamics and Ergodic theory via Thurston theory |
| topic | Complex Variables General Topology Geometric Topology 32G05, 32G15, 32U35, 57M50, 57R30, 58F11, 22E40 |
| url | https://arxiv.org/abs/2507.20912 |