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math.PR2021
Loop-Erased Random Walk Branch of Uniform Spanning Tree in Topological Polygons
Mingchang Liu, Hao Wu
We consider uniform spanning tree (UST) in topological polygons with marked points on the boundary with alternating boundary conditions. In [LPW21], the authors derive the sca…
math.PR2021★ 2 cited
Uniform Spanning Tree in Topological Polygons, Partition Functions for SLE(8), and Correlations in Logarithmic CFT
Mingchang Liu, Eveliina Peltola, Hao Wu
We find explicit SLE(8) partition functions for the scaling limits of Peano curves in the uniform spanning tree (UST) in topological polygons with general boundary conditions. They…