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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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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-01384444
Contributor : Julien Bureaux Connect in order to contact the contributor
Submitted on : Wednesday, October 19, 2016 - 9:58:31 PM
Last modification on : Wednesday, November 3, 2021 - 6:00:56 AM

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  • HAL Id : hal-01384444, version 1
  • ARXIV : 1610.06400

Citation

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

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