Yifan Gao

collaborators

3 papers

math.PR2026

Percolation of discrete GFF in dimension two II. Connectivity properties of two-sided level sets

Yifan Gao, Pierre Nolin, Wei Qian

We study percolation of two-sided level sets for the discrete Gaussian free field (DGFF) in 2D. For a DGFF $I ¨ $ defined in a box $B_{N}$ with side length $N$ , for $C$ large enough, t…

math.PR2025

Arm events in critical planar loop soups

Yijie Bi, Yifan Gao, Pierre Nolin +1

We establish up-to-constants estimates for arm events in the Brownian loop soup on the 2D metric graph associated with the square lattice. More specifically, we consider two natura…

math.PR2025

Up-to-constants estimates on four-arm events for simple conformal loop ensemble

Yifan Gao, Pierre Nolin, Wei Qian

We prove up-to-constants estimates for a general class of four-arm events in simple conformal loop ensembles, i.e. CLE $_{I^} º$ for $I^º \in (8/3, 4]$ . The four-arm events that we conside…