Statistical reconstruction of the Gaussian free field and KT transition

Christophe Garban, Avelio Sepúlveda

In this paper, we focus on the following question. Assume $\varphi$ is a discrete Gaussian free field (GFF) on $\Lambda \subset \frac{1}{n}{\mathbb{Z}}^2$ and that we are given $e^{iT\varphi }$, or equi…