2 problems

High-temperature exponential clustering conjecture. There exist $\beta^*$, $C_\mathrm{Cov}$, $c_\mathrm{Cov}>0$, and $n\in\mathbb{N}$ such that, for every $\beta<\beta^*$ and every…

High-degree free-boundary state nonequilibrium conjecture. For every $\varepsilon>0$, for all sufficiently large $r$, if $J\geq(1+\varepsilon)J_{uniq}(r)$, then