8 papers
Exact solution of three-point functions in critical loop models
Morris Ang, Gefei Cai, Jesper Lykke Jacobsen +4
We propose an exact formula for three-point functions on the sphere in critical loop models with primary fields characterized by legs and a parameter \(s\) that de…
Boundary four-point connectivities of conformal loop ensembles
Gefei Cai
We derive the boundary four-point Green's functions for conformal loop ensembles (CLE) with . Specializing to and , we establish the exact formulas for the…
Backbone probability of planar Brownian motion
Gefei Cai, Zhuoyan Xie
Motivated by critical planar percolation, we investigate a ``backbone'' event of planar Brownian motion, i.e.~the existence of two disjoint subpaths on the Brownian trajectory conn…
Three-point connectivity constant for -state Potts spin clusters
Gefei Cai, Haoyu Liu, Baojun Wu +1
Recently, Ang--Cai--Sun--Wu (2024) determined the three-point connectivity constant for two-dimensional critical percolation, confirming a prediction of Delfino and Viti (2010). In…
Disconnection probability of Brownian motion on an annulus
Gefei Cai, Xuesong Fu, Xin Sun +1
We derive an exact formula for the probability that a Brownian path on an annulus does not disconnect the two boundary components of the annulus. The leading asymptotic behavior of…
Uniqueness of generalized conformal restriction measures and Malliavin-Kontsevich-Suhov measures for
Gefei Cai, Yifan Gao
In this paper, we present a unified approach to establish the uniqueness of generalized conformal restriction measures with central charge in both chordal and radial…