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Gaussian free field in annulus: BPZ equations and crossing probabilities for level lines
Chongzhi Huang, Mingchang Liu, Hao Wu
The paper computes the probability that all level lines of a Gaussian free field in an annulus with alternating boundary conditions cross the annulus, using partition functions tha…
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…
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…
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…