Proves asymptotic lower bounds on variance of vertices and missed area for random disc-polygons that match the order of prior upper bounds for C_+^2 smooth convex discs.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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math.MG 2years
2021 2verdicts
UNVERDICTED 2representative citing papers
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).
citing papers explorer
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Variance bounds for disc-polygons
Proves asymptotic lower bounds on variance of vertices and missed area for random disc-polygons that match the order of prior upper bounds for C_+^2 smooth convex discs.
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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).