Loop-erased random walk branch of uniform spanning tree in topological polygons
Loop-erased random walk branch of uniform spanning tree in topological polygons
We consider uniform spanning tree (UST) in topological polygons with 2N marked points on the boundary with alternating boundary conditions. In an earlier work by Liu-Peltola-Wu, the authors derive the scaling limit of the Peano curve in the UST. They are variants of SLE8. In this article, we derive the …