A Central Limit Theorem for Random Disc-Polygons in Smooth Convex Discs
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_+ C + 2 . We use Stein’s method and the asymptotic lower bound for the variance of the area proved by Fodor, Grünfelder and Vígh (Doc Math 27: 1015-10...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2024
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| Sorozat: | DISCRETE AND COMPUTATIONAL GEOMETRY
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| Tárgyszavak: | |
| doi: | 10.1007/s00454-024-00701-6 |
| mtmt: | 35579584 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/35180 |
| Tartalmi kivonat: | 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_+ C + 2 . We use Stein’s method and the asymptotic lower bound for the variance of the area proved by Fodor, Grünfelder and Vígh (Doc Math 27: 1015-1029, 2022). |
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| ISSN: | 0179-5376 |