14 citations · 15 across the 9 of their papers we have counts for
4 papers · 1 filter
A quadratic ancestor inequality for spanning trees
Gefei Cai
We introduce a quadratic ancestor inequality for weighted spanning trees on finite undirected graphs and give two applications. First, for every finite -vertex transitive graph,…
The Brownian loop-catcher
Gefei Cai
We introduce a family of random connected closed subsets of planar Brownian motion, called Brownian loop-catchers, which interpolate between the continuum loop-erased random-walk (…
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…