The shape of a sequence of dual random triangles

zbMath1101.60006MaRDI QIDQ850727

John Gates

Publication date: 6 November 2006

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bj/1141136648

zbMATH Keywords

convexityconvergence of shapedual trianglesshape distribution

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05)

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Cites Work

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• Valuations on convex sets of oriented hyperplanes
• Convergence to collinearity of a sequence of random triangle shapes
• The invariant distribution of a sequence of random collinear triangle shapes
• Some Dual Problems of Geometric Probability in the Plane
• Shape distributions for planar triangles by dual construction