Weak convergence of the intersection point process of Poisson hyperplanes

Facial structure of strongly convex sets generated by random samples

“…This approach has clarified the aforementioned convergence of averages, provided the identification of the limiting constants and, moreover, has led to the proof of convergence in distribution of the entire f -vector together with all power moments. Further models exhibiting a very similar behaviour have been considered in recent works [1,17].…”