Percolation of discrete GFF in dimension two II. Connectivity properties
of two-sided level sets
Percolation of discrete GFF in dimension two II. Connectivity properties
of two-sided level sets
We study percolation of two-sided level sets for the discrete Gaussian free field (DGFF) in 2D. For a DGFF $\varphi$ defined in a box $B_N$ with side length $N$, we show that with high probability, there exist low crossings in the set of vertices $z$ with $|\varphi(z)|\le\varepsilon\sqrt{\log N}$ for any …