Properties of the gradient squared of the discrete Gaussian free field

Alessandra Cipriani, Rajat S. Hazra, Alan Rapoport +1

In this paper we study the properties of the centered (norm of the) gradient squared of the discrete Gaussian free field in $U_{\epsilon }=U/\epsilon \cap {\mathbb{Z}}^d$, $U\subset {\mathbb{R}}^d$ and…