Equality of critical parameters for percolation of Gaussian free field level sets
Equality of critical parameters for percolation of Gaussian free field level sets
We consider upper level sets of the Gaussian free field (GFF) on Zd, for d≥3, above a given real-valued height parameter h. As h varies, this defines a canonical percolation model with strong, algebraically decaying correlations. We prove that three natural critical parameters associated with this model, respectively describing a …