A central limit theorem for random disc-polygons in smooth convex discs
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866910110573395968 |
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| author | Fodor, Ferenc Papvári, Dániel I. |
| author_facet | Fodor, Ferenc Papvári, Dániel I. |
| contents | In this paper we prove a quantitative central limit theorem for the area of uniform random disc-polygons in smooth convex discs whose boundary is $C^2_+$. We use Stein's method and the asymptotic lower bound for the variance of the area proved by Fodor, Grünfelder and Vígh (2022). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_18143 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A central limit theorem for random disc-polygons in smooth convex discs Fodor, Ferenc Papvári, Dániel I. Metric Geometry Probability 52A22 (Primary) 60D05, 60F05 (Secondary) In this paper we prove a quantitative central limit theorem for the area of uniform random disc-polygons in smooth convex discs whose boundary is $C^2_+$. We use Stein's method and the asymptotic lower bound for the variance of the area proved by Fodor, Grünfelder and Vígh (2022). |
| title | A central limit theorem for random disc-polygons in smooth convex discs |
| topic | Metric Geometry Probability 52A22 (Primary) 60D05, 60F05 (Secondary) |
| url | https://arxiv.org/abs/2310.18143 |