Central limit theorems for Green metrics on hyperbolic groups
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917748082212864 |
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| author | Cantrell, Stephen Pollicott, Mark |
| author_facet | Cantrell, Stephen Pollicott, Mark |
| contents | Suppose we have two finitely supported, admissible, probability measures on a hyperbolic group $Γ$. In this article we prove that the corresponding two Green metrics satisfy a counting central limit theorem when we order the elements of $Γ$ according to one of the metrics. Our results also apply to various other metrics including length functions associated to Anosov representations and to group actions on hyperbolic metric spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_11512 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Central limit theorems for Green metrics on hyperbolic groups Cantrell, Stephen Pollicott, Mark Dynamical Systems Geometric Topology Suppose we have two finitely supported, admissible, probability measures on a hyperbolic group $Γ$. In this article we prove that the corresponding two Green metrics satisfy a counting central limit theorem when we order the elements of $Γ$ according to one of the metrics. Our results also apply to various other metrics including length functions associated to Anosov representations and to group actions on hyperbolic metric spaces. |
| title | Central limit theorems for Green metrics on hyperbolic groups |
| topic | Dynamical Systems Geometric Topology |
| url | https://arxiv.org/abs/2404.11512 |