The limit shape of convex lattice polygons
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- Bárány, I. Discrete Comput Geom (1995) 13: 279. doi:10.1007/BF02574045
It is proved here that, asn→∞, almost all convex (1/n)ℤ2-lattice polygons lying in the square [−1, 1]2 are very close to a fixed convex set.