High-density hard-core model on ${\mathbb{Z}}^2$ and norm equations in ring $\mathbb{Z}[\sqrt[6]{-1}]$

A. Mazel, I. Stuhl, Y. Suhov

We study the Gibbs statistics of high-density hard-core configurations on a unit square lattice ${\mathbb{Z}}^2$, for a general Euclidean exclusion distance $D$. As a by-product, we…