Equidistribution of cusp points of Hecke triangle groups
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866911772834791424 |
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| author | Breitkopf, Laura Kesseböhmer, Marc Pohl, Anke |
| author_facet | Breitkopf, Laura Kesseböhmer, Marc Pohl, Anke |
| contents | In the framework of infinite ergodic theory, we derive equidistribution results for suitable weighted sequences of cusp points of Hecke triangle groups encoded by group elements of constant word length with respect to a set of natural generators. This is a generalization of the corresponding results for the modular group, for which we rely on advanced results from infinite ergodic theory and transfer operator techniques developed for AFN-maps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_04784 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Equidistribution of cusp points of Hecke triangle groups Breitkopf, Laura Kesseböhmer, Marc Pohl, Anke Dynamical Systems Number Theory Primary: 11J70, 37F32, 37E05, Secondary: 37D40, 37A44 In the framework of infinite ergodic theory, we derive equidistribution results for suitable weighted sequences of cusp points of Hecke triangle groups encoded by group elements of constant word length with respect to a set of natural generators. This is a generalization of the corresponding results for the modular group, for which we rely on advanced results from infinite ergodic theory and transfer operator techniques developed for AFN-maps. |
| title | Equidistribution of cusp points of Hecke triangle groups |
| topic | Dynamical Systems Number Theory Primary: 11J70, 37F32, 37E05, Secondary: 37D40, 37A44 |
| url | https://arxiv.org/abs/2402.04784 |