2 problems

Let $\kappa\in(4,8)$, and consider a statistical mechanics model in two dimensions whose cluster converges to the ${\rm CLE}_{\kappa}$ gasket. Equip the discrete cluster with its e…

Let $\mathcal{L}_{\alpha}^{\infty}$ be the infinite stable looptree, with root $\rho$, metric ball $B(\rho,r)$, and effective resistance metric $R_{\mathrm{eff}}$. The source estab…