4 papers · 1 filter
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_…
Radial BPZ equations and partition functions of FK-Ising interfaces conditional on one-arm event
Yu Feng, Hao Wu
Radial BPZ equations come naturally when one solves Dubédat's commutation relation in the radial setting. We construct positive solutions to radial BPZ equations and show that part…
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…