2 problems

Let $\Lambda_n$ be the finite domain, let $T$ be sufficiently small, and let $\psi_n$ be a Villain model in $\Lambda_n$ at temperature $T$. Give it boundary values…

Let $\phi_n$ be the discrete Gaussian free field, let $u_n$ be the auxiliary function appearing in the construction, and let $\eta^{(n)}$ be the original level line. For sufficient…