3 problems

Ultrametric organization conjecture. The TAP critical points at free-energy level $f$ are organized in an ultrametric tree; uniformly sampled overlaps between two such states take…

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 $f\in D$,