High-dimensional limits arising from hyperbolic Poisson k-plane processes

Tillmann Bühler, Daniel Hug, Christoph Thäle

We consider a stationary Poisson process of $k$-planes in the $d$-dimensional hyperbolic space ${\mathbb{H}}^d$ of constant curvature $-1$, with $d\ge 4$ and $1\le k\le d-1$. It is…