The limit shape of convex lattice polygons

DOI10.1007/BF02574045zbMath0824.52001OpenAlexW2065235589MaRDI QIDQ1892410

Imre Bárány

Publication date: 2 July 1995

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131363

zbMATH Keywords

limit shapelattice polygonsconvex lattice curves

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Geometry of numbers (11H99)

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Probability that \(n\) random points are in convex position, Convex cones, integral zonotopes, limit shape, Asymptotics of random partitions of a set, The probability that \(n\) random points in a triangle are in convex position, Asymptotics of convex lattice polygonal lines with a constrained number of vertices, Limit shape of random convex polygonal lines: even more universality, Limit shape of optimal convex Lattice polygons in the sense of different metrics., Random points and lattice points in convex bodies, Universality of the limit shape of convex lattice polygonal lines, Extremal general affine surface areas, Statistical mechanics of combinatorial partitions, and their limit shapes, On maximal convex lattice polygons inscribed in a plane convex set, Beyond Hammersley's last-passage percolation: a discussion on possible local and global constraints, A proof of the Vershik-Prohorov conjecture on the universality of the limit shape for a class of random polygonal lines, Approximation of convex sets by polytopes, Large deviations in the geometry of convex lattice polygons, Limit shape of convex lattice polygons having the minimal \(L_\infty\) diameter w. r. t. the number of their vertices, Limit shape of convex lattice polygons with minimal perimeter, Random generation of \(Q\)-convex sets, On Finding The Limit Shape Of Optimal Convex Lattice Polygons

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