4 problems

Ashkin–Teller magnetisation-interface percolation conjecture. The law of the outermost interfaces of the Ashkin–Teller magnetisation field is the law of the outermost outer boundar…

Linking-probability conjecture. The linking probabilities for multichordal $\mathrm{CLE}_\kappa$ in Theorem are given by the same formula as in the referenced work on connection pr…

Let $\mathbb{C}$ be the full plane, let $\mu_k$ denote the scaling limit of the $k$-arm IIC for $k\in\{1,2,4\}$, and consider inversion $z\mapsto 1/z$. Inversion-invariance conject…

Let the conformally invariant growing process in $\operatorname{CLE}_4$ assign a time parameter to each loop, and let the loop configuration denote the collection of loops in the p…