2 problems

Let $\Lambda_n$ be the finite domain and let $\psi_n$ be a Villain model in $\Lambda_n$ at sufficiently small temperature $T$. Let the discrete ALE be the union of the interfaces a…

Let $\phi_n$ be a zero-boundary discrete Gaussian free field converging to a continuum Gaussian free field $\Phi$, and let $\mathbb{A}_{-\lambda,\lambda}$ denote the continuum ALE.…