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Convex cones, integral zonotopes, limit shape

Abstract

This paper is about integral zonotopes. It is proven that large zonotopes in a convex cone have a limit shape, meaning that, after suitable scaling, the overwhelming majority of the zonotopes are very close to a fixed convex set. Several combinatorial properties of large zonotopes are established.
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Dates and versions

hal-01384444 , version 1 (19-10-2016)

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Imre Bárány, Julien Bureaux, Ben Lund. Convex cones, integral zonotopes, limit shape. 2016. ⟨hal-01384444⟩
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