Random triangles in planar regions

DOI10.1007/s12215-018-0364-8zbMath1481.60016arXiv1612.08619OpenAlexW2889220223MaRDI QIDQ2311412

Eugen J. Ionascu

Publication date: 10 July 2019

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.08619

zbMATH Keywords

integral formulageometric probabilitySylvester four-point problemplanar regionrandom triangle

Mathematics Subject Classification ID

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

Cites Work

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• On the number of vertices of random convex polyhedra
• Things to do with a broken stick
• A Note on Random Triangles
• Stochastic and Integral Geometry
• Acute triangles in the n-ball
• A fourth note on recent research in geometrical probability
• Random triangles in convex regions
• Random Triangles in n Dimensions
• The probability that a random triangle is obtuse
• A continuous analogue of the upper bound theorem

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