The number of spanning clusters of the uniform spanning tree in three dimensions

Omer Angel, David A. Croydon, Sarai Hernandez-Torres +1

Let ${\mathcal{U}}_{\delta }$ be the uniform spanning tree on $\delta {\mathbb{Z}}^3$. A spanning cluster of ${\mathcal{U}}_{\delta }$ is a connected component of the restriction of ${\mathcal{U}}_{\delta }$ to th…