From the 1 of 4 linked papers with an AI index.
4 papers
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…
Multiple SLEs for : Coulomb gas integrals and pure partition functions
Yu Feng, Mingchang Liu, Eveliina Peltola +1
In this article, we give an explicit relationship of SLE partition functions with Coulomb gas formalism of conformal field theory. We first construct a family of SLE partitio…
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…