2 problems

Let $p$ be fixed, let $J$ denote the disorder law, let $V$ be the relevant energy parameter, and let $\mathscr C_N^J(V)$ be the annealed critical-point complexity. Assume that the…

Let $H_N$ be a mixed $p$-spin Hamiltonian on the sphere, let $\mathcal{N}(D)$ denote the number of its local maxima on $S_{N-1}$ whose normalized radial derivative lies in $D$, and…