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math.PR2026
Gaussian free field in annulus: BPZ equations and crossing probabilities for level lines
Chongzhi Huang, Mingchang Liu, Hao Wu
We consider level lines of Gaussian free field (GFF) in annulus with alternating boundary conditions. We calculate the probability that all level lines cross the annulus. Such prob…
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.PR2020★ 2 cited
Scaling Limits of Crossing Probabilities in Metric Graph GFF
Mingchang Liu, Hao Wu
We consider metric graph Gaussian free field (GFF) defined on polygons of with alternating boundary data. The crossing probabilities for level-set percolation of me…