Convex cones, integral zonotopes, limit shape
Combinatorics
2018-04-12 v2 Metric Geometry
Probability
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.
Keywords
Cite
@article{arxiv.1610.06400,
title = {Convex cones, integral zonotopes, limit shape},
author = {Imre Bárány and Julien Bureaux and Ben Lund},
journal= {arXiv preprint arXiv:1610.06400},
year = {2018}
}