Decoupling inequalities and supercritical percolation for the vacant set of random walk loop soup
Decoupling inequalities and supercritical percolation for the vacant set of random walk loop soup
It has been recently understood [9, 24, 30] that for a general class of percolation models on $\mathbb{Z} ^{d}$ satisfying suitable decoupling inequalities, which includes i.a. Bernoulli percolation, random interlacements and level sets of the Gaussian free field, large scale geometry of the unique infinite cluster in strongly percolative regime …