4 citations · 8 across the 8 of their papers we have counts for
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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…
Tripod in uniform spanning tree and three-sided radial SLE
Jiacheng Ding, Mingchang Liu, Hao Wu
Fix a bounded -polygon with three marked boundary points and suppose is an approximation of $(Ω; x_…
Decomposition of global 2-SLE for and an application for critical FK-Ising model
Yu Feng, Mingchang Liu, Hao Wu
We consider global 2-SLE in a topological rectangle with . We derive the law of a random hitting point of the curves and show that, conditional on this…
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…
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…
Hypergeometric SLE with : Convergence of UST and LERW in Topological Rectangles
Yong Han, Mingchang Liu, Hao Wu
We consider uniform spanning tree (UST) in topological rectangles with alternating boundary conditions. The Peano curves associated to the UST converge weakly to hypergeometric SLE…
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…