Dippolito's transverse-measure conjecture for exceptional minimal sets

Let $(M,\mathcal F)$ be a codimension-one foliation of a closed manifold that is transversely $C^2$, with exceptional minimal set $\Lambda$. Dippolito's conjecture. There exists a transverse measure supported on $\Lambda$ for which the Radon–Nikodym derivative of the action of any holonomy pseudogroup is locally constant. This conjecture is conditioned on the solution of a major open problem in foliation theory concerning the holonomy germs of semi-exceptional leaves.