The probability that \(n\) random points in a triangle are in convex position

DOI10.1007/BF01271274zbMath0881.60010OpenAlexW2093400507MaRDI QIDQ1375700

Pavel Valtr

Publication date: 11 January 1998

Published in: Combinatorica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01271274

zbMATH Keywords

uniform distributionconvex domain

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (7)

AROUND SYLVESTER'S QUESTION IN THE PLANE ⋮ Large convex holes in random point sets ⋮ Random points and lattice points in convex bodies ⋮ The Exact Distribution of the Number of Vertices of a Random Convex Chain ⋮ Approximation of convex sets by polytopes ⋮ Large Area Convex Holes in Random Point Sets ⋮ Sylvester’s question and the random acceleration process

Cites Work

• The limit shape of convex lattice polygons
• Probability that \(n\) random points are in convex position

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