3 problems

Let $F_N(\beta)$ denote the free energy of the Sherrington–Kirkpatrick model with $N$ spins at inverse temperature $\beta$, and let the critical inverse temperature be $\beta_c=1$.…

Odd p-spin fluctuation conjecture. There exists $\beta_p>0$ such that, for every $\beta<\beta_p$,

Critical-window variance conjecture. The variance of the free energy in this critical scaling should be of order