3 problems

The quenched complexity formula. There exists an open subset $D\subset\mathbb{R}$ such that, for every $f\in D$,

The annealed complexity formula. There exists an open subset $D\subset\mathbb{R}$ containing $[\inf_\zeta\mathcal{P}\mathrm{arisi}(\zeta),+\infty)$ such that, for every $f\in D$,

Parisi PDE conjecture. The enriched free energy $F_N$ should converge to a function $f:\mathbb{R}_+\times\mathcal Q^2\to\mathbb{R}$ solving