Fodor, Ferenc and Kevei, Péter and Vígh, Viktor (2023) On random disc-polygons in a disc-polygon. Electronic Communications in Probability, 28. pp. 1-11. ISSN 1083-589X, ESSN: 1083-589X
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Abstract
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 [10] about random polygons in convex polygons.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika Q Science / természettudomány > QA Mathematics / matematika > QA73 Geometry / geometria |
| Depositing User: | Peter Kevei |
| Date Deposited: | 25 Sep 2023 12:29 |
| Last Modified: | 25 Sep 2023 12:29 |
| URI: | http://real.mtak.hu/id/eprint/174741 |
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