4 problems

Let $K_{\mathbf{0}}^n$ denote the origin cluster using only open edges of length at most $n$, and let $K_{\mathbf{0}}$ denote the full open cluster. The model satisfies the symmetr…

Let $d\geq 2$, and for $n\in\mathbb{N}$ let $K_{\mathbf{0}}^n$ be the cluster of the origin using only open edges of length at most $n$. Truncation conjecture. For $n$ large enough…

Let $N_i^*$ be the truncation levels, let $\bar{t}$ be the time parameter, and let $\relax\epsilon_1(N_1^*,N_2^*,\bar{t})$ and $\relax\epsilon_2(N_1^*,N_2^*,\bar{t})$ denote the tw…

Let $A$ and $B$ be types, let $n\geq -1$, and let $\mathsf{coskel}^{[n+1],{A}}$ be the fibrant $[n+1]$-skeleton of the diagram constantly equal to $A$, while…