Gibbsianness and non-Gibbsianness in divide and color models

András Bálint

For parameters $p\in [0,1]$ and $q>0$ such that the Fortuin--Kasteleyn (FK) random-cluster measure ${\Phi }_{p,q}^{{\mathbb{Z}}^d}$ for ${\mathbb{Z}}^d$ with parameters $p$ and $q$ is unique,…