On $\partial\Delta_{\lambda}^{\vee}\setminus Sing$, the locally convex function $u_{\infty}$ solves the real MA equation in the sense of Def. 3.29 up to a scaling constant:

$$MA(u_{\infty})=\frac{a_{\infty}}{\pi^{n}n!}d\mu_{\infty},$$

(31)

where $d\mu_{\infty}$ is the Lebesgue measure on $\partial\Delta_{\lambda}^{\vee}$, and the constant $a_{\infty}$ is defined by (21).