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arxiv: 1606.05062 · v1 · pith:CNWHA2GJnew · submitted 2016-06-16 · 🧮 math.PR

Convex lattice polygonal lines with a constrained number of vertices

classification 🧮 math.PR
keywords constrainedconvexlatticelinesnumberpolygonalverticesanalysis
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A detailed combinatorial analysis of planar convex lattice polygonal lines is presented. This makes it possible to answer an open question of Vershik regarding the existence of a limit shape when the number of vertices is constrained.

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