Connectivity of the adjacency graph of complementary components of the SLE fan

Cillian Doherty, Konstantinos Kavvadias, Jason Miller

Suppose that $h$ is an instance of the Gaussian free field (GFF) on a simply connected domain $D\subseteq \mathbf{C}$ and $x,y\in \partial D$ are distinct. Fix $\kappa \in (0,4)$ and…