5 problems

Off-critical variance conjecture. There exists $C(p,q,d)\geq1$ such that, as $L\to\infty$,

Exponential-relaxation scaling conjecture.

Gumbel limiting-distribution conjecture.

Mean-dominates-standard-deviation conjecture.

Critical Gumbel limit conjecture. The Gumbel limit law holds for all $p\in(0,1)$ when $q\in[1,4)$ and $d=2$.