2 problems

Let $F(\delta,\beta)$ be the annealed free energy, let $m(\delta)$ be the charge-dependent quantity defined in the paper, let $v(\delta)$ be the corresponding variance term, and le…

Let $d\geq 2$, let $\delta$ denote the charge bias, and let $\varepsilon_\delta$ and $\kappa_d$ be the quantities defined in the paper through the small-$\delta$ expansion of the c…