Random surfaces with large systoles
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866914698080813056 |
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| author | Liu, Mingkun Petri, Bram |
| author_facet | Liu, Mingkun Petri, Bram |
| contents | We present two constructions, both inspired by ideas from graph theory, of sequences random surfaces of growing area, whose systoles grow logarithmically as a function of their area. This also allows us to prove a new lower bound on the maximal systole of a closed orientable hyperbolic surface of a given genus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_11428 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Random surfaces with large systoles Liu, Mingkun Petri, Bram Geometric Topology Combinatorics Group Theory Probability We present two constructions, both inspired by ideas from graph theory, of sequences random surfaces of growing area, whose systoles grow logarithmically as a function of their area. This also allows us to prove a new lower bound on the maximal systole of a closed orientable hyperbolic surface of a given genus. |
| title | Random surfaces with large systoles |
| topic | Geometric Topology Combinatorics Group Theory Probability |
| url | https://arxiv.org/abs/2312.11428 |