3 problems

Let $S=[0,1]^2$, and let $\phi^N$ be a stochastic interface model on $S_N$ with interaction potential $V=\mathsf{bead}$ or $V=\mathsf{exp}$. Suppose its weight functions are … wher…

Let exp} denote the exponential interaction, and for each $N$ let $\sigma_N^{\mathsf{exp}}$ be its finite surface tension. Exponential surface-tension conjecture. The limit … exi…

Let $S=[0,1]^2$ be the unit square, and let an interaction potential specify a stochastic interface model and its macroscopic surface tension. Macroscopic-shape conjecture. For cer…