Equality of critical parameters for percolation of Gaussian free field level-sets

Hugo Duminil-Copin, Subhajit Goswami, Pierre-François Rodriguez +1

We consider upper level-sets of the Gaussian free field on ${\mathbb{Z}}^d$, for $d\ge 3$, above a given real-valued height parameter $h$. As $h$ varies, this defines a canonical per…