Proves asymptotic formulas for expectation of vertex number and missed area of uniform random disc-polygons in convex disc-polygons as r-convex analogues of Rényi-Sulanke (1964).
Fodor, Random ball-polytopes in smooth convex bodies , arXiv:1906.11480 (2019)
2 Pith papers cite this work. Polarity classification is still indexing.
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Proves limits for expected vertices and missed area of random L-convex polygons from n points in K, with finite vertex limit when K=L and extrema for constant-width L.
citing papers explorer
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On random disc-polygons in a disc-polygon
Proves asymptotic formulas for expectation of vertex number and missed area of uniform random disc-polygons in convex disc-polygons as r-convex analogues of Rényi-Sulanke (1964).
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On random approximations by generalized disc-polygons
Proves limits for expected vertices and missed area of random L-convex polygons from n points in K, with finite vertex limit when K=L and extrema for constant-width L.