On random disc-polygons in a disc-polygon
arxiv(2023)
摘要
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 Renyi and Sulanke [10] about random polygons in convex polygons.
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关键词
random approximation,disc-polygon,expectation,spindle convex
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