Proof of David Kendall's conjecture concerning the shape of large random polygons

DOI10.1007/BF02733102zbMath0922.60022OpenAlexW2002003673WikidataQ123360376 ScholiaQ123360376MaRDI QIDQ1280903

Igor N. Kovalenko

Publication date: 28 April 1999

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02733102

zbMATH Keywords

tessellationrandom polygonPoisson line process

Mathematics Subject Classification ID

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

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Cites Work

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• The various aggregates of random polygons determined by random lines in a plane
• Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces
• A heuristic proof of a long-standing conjecture of D. G. Kendall concerning the shapes of certain large random polygons
• RANDOM POLYGONS DETERMINED BY RANDOM LINES IN A PLANE