On random walks on the mapping class group
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908448282640384 |
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| author | Hamenstädt, Ursula |
| author_facet | Hamenstädt, Ursula |
| contents | We define an electrification of the curve graph of a surface S of finite type and use it to identify the Poisson boundary of a random walk on the mapping class group of S with some logarithmic moment condition as a stationary measure on the space of minimal and maximal geodesic laminations on $S$, equipped with the Hausdorff topology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_09625 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On random walks on the mapping class group Hamenstädt, Ursula Geometric Topology 57K20, 30F60 We define an electrification of the curve graph of a surface S of finite type and use it to identify the Poisson boundary of a random walk on the mapping class group of S with some logarithmic moment condition as a stationary measure on the space of minimal and maximal geodesic laminations on $S$, equipped with the Hausdorff topology. |
| title | On random walks on the mapping class group |
| topic | Geometric Topology 57K20, 30F60 |
| url | https://arxiv.org/abs/2507.09625 |