4 problems

The Ashkin–Teller model on a box $\Lambda_n$ has configurations $(\sigma_1,\sigma_2):\Lambda_n\to\{-1,+1\}^2$ with density proportional to … On the self-dual line, assume $J\geq0$,…

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…

Ashkin–Teller magnetisation-field decomposition conjecture. The statement of the main magnetisation-field decomposition theorem holds for the Ashkin–Teller magnetisation field at e…

Monotonicity conjecture. For $\beta_1,\beta_2\in(0,1)$ with $\beta_1<\beta_2$, there exists $\varepsilon>0$ such that