Large-genus universality conjecture for the area Siegel–Veech constant

Let $m\in\Pi_{2g-2}$ be a partition specifying a stratum $\mathcal H(m)$ of Abelian differentials, and let $\mathcal H$ be a nonhyperelliptic connected component of that stratum. Denote by $c_{\mathit{area}}(\mathcal H)$ its area Siegel–Veech constant.

Siegel–Veech universality conjecture. For all such nonhyperelliptic connected components,

$$\lim_{g\to\infty}c_{\mathit{area}}(\mathcal H)=\frac{1}{2}.$$

This predicts that the area Siegel–Veech constant becomes universal in large genus, independently of the stratum and nonhyperelliptic connected component. Hyperelliptic components are excluded; the source presents the assertion as conjectural.