Deep lattice points in zonotopes, lonely runners, and lonely rabbits

Matthias Beck, Matthias Schymura

Let $K\subseteq {\mathbb{R}}^d$ be a convex body and let $\mathbf{w}\in \mathrm{int}(K)$ be an interior point of $K$. The coefficient of asymmetry $\operatorname{ca}(K,\mathb…