There are no geodesic hubs in the Brownian sphere
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866917884379267072 |
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| author | Mourichoux, Mathieu |
| author_facet | Mourichoux, Mathieu |
| contents | A point of a metric space is called a $k$-hub if it is the endpoint of exactly $k$ disjoint geodesics, and that the concatenation of any two of these paths is still a geodesic. We prove that in the Brownian sphere, there is no $k$-hub for $k\geq 3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_02571 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | There are no geodesic hubs in the Brownian sphere Mourichoux, Mathieu Probability 60D05 A point of a metric space is called a $k$-hub if it is the endpoint of exactly $k$ disjoint geodesics, and that the concatenation of any two of these paths is still a geodesic. We prove that in the Brownian sphere, there is no $k$-hub for $k\geq 3$. |
| title | There are no geodesic hubs in the Brownian sphere |
| topic | Probability 60D05 |
| url | https://arxiv.org/abs/2501.02571 |