On random disc-polygons in a disc-polygon
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866911578833551360 |
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| author | Fodor, Ferenc Kevei, Péter Vígh, Viktor |
| author_facet | Fodor, Ferenc Kevei, Péter Vígh, Viktor |
| contents | We prove asymptotic formulas for the expectation of the vertex number and missed area of uniform random disc-polygons in convex disc-polygons. Our statements are the $r$-convex analogues of the classical results of Rényi and Sulanke (1964) about random polygons in convex polygons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_12191 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On random disc-polygons in a disc-polygon Fodor, Ferenc Kevei, Péter Vígh, Viktor Metric Geometry Probability 52A22, 60D05 We prove asymptotic formulas for the expectation of the vertex number and missed area of uniform random disc-polygons in convex disc-polygons. Our statements are the $r$-convex analogues of the classical results of Rényi and Sulanke (1964) about random polygons in convex polygons. |
| title | On random disc-polygons in a disc-polygon |
| topic | Metric Geometry Probability 52A22, 60D05 |
| url | https://arxiv.org/abs/2110.12191 |