Variance bounds for disc-polygons
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866911574658121728 |
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| author | Fodor, Ferenc Grünfelder, Balázs Vígh, Viktor |
| author_facet | Fodor, Ferenc Grünfelder, Balázs Vígh, Viktor |
| contents | We prove asymptotic lower bounds on the variance of the number of vertices and missed area of random disc-polygons in convex discs whose boundary is $C_+^2$ smooth. The established lower bounds are of the same order as the upper bounds proved previously by Fodor and V\'ıgh (2018). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_01725 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Variance bounds for disc-polygons Fodor, Ferenc Grünfelder, Balázs Vígh, Viktor Metric Geometry Probability 52A22, 60D05 We prove asymptotic lower bounds on the variance of the number of vertices and missed area of random disc-polygons in convex discs whose boundary is $C_+^2$ smooth. The established lower bounds are of the same order as the upper bounds proved previously by Fodor and V\'ıgh (2018). |
| title | Variance bounds for disc-polygons |
| topic | Metric Geometry Probability 52A22, 60D05 |
| url | https://arxiv.org/abs/2111.01725 |