Percolation of discrete GFF in dimension two I. Arm events in the random
walk loop soup
Percolation of discrete GFF in dimension two I. Arm events in the random
walk loop soup
In this work, which is the first part of a series of two papers, we study the random walk loop soup in dimension two. More specifically, we estimate the probability that two large connected components of loops come close to each other, in the subcritical and critical regimes. The associated …