, Volume 13, Issue 1, pp 279-295

The limit shape of convex lattice polygons

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Abstract

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.

This research was partially supported by Hungarian Science Foundation Grants 1907 and 1909.