Does a central limit theorem hold for the $k$-skeleton of Poisson hyperplanes in hyperbolic space?

Felix Herold, Daniel Hug, Christoph Thähle

Poisson processes in the space of $(d-1)$-dimensional totally geodesic subspaces (hyperplanes) in a $d$-dimensional hyperbolic space of constant curvature $-1$ are studied. The $k$…