Magnitude function determines generic finite metric spaces
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866908515808837632 |
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| author | O'Hara, Jun |
| author_facet | O'Hara, Jun |
| contents | We give sufficient conditions for a finite metric space to be determined by the magnitude function. In particular, a generic finite metric space such that the distances between the points are rationally independent is determined by the asymptotic behavior of the magnitude function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00786 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Magnitude function determines generic finite metric spaces O'Hara, Jun Metric Geometry 51F99 We give sufficient conditions for a finite metric space to be determined by the magnitude function. In particular, a generic finite metric space such that the distances between the points are rationally independent is determined by the asymptotic behavior of the magnitude function. |
| title | Magnitude function determines generic finite metric spaces |
| topic | Metric Geometry 51F99 |
| url | https://arxiv.org/abs/2401.00786 |