Daniel Hug

collaborators

3 papers

math.PR2025

Visibility and intersection density for Boolean models in hyperbolic space

Tillmann BÃ¼hler, Daniel Hug, Christoph Thaele

For Poisson particle processes in hyperbolic space we introduce and study concepts analogous to the intersection density and the mean visible volume, which were originally consider…

math.PR2025

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

Tillmann BÃ¼hler, Daniel Hug, Christoph ThÃ¤le

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

math.PR2024

Intersections of Poisson k-flats in hyperbolic space: completing the picture

Tillmann BÃ¼hler, Daniel Hug

In recent years there has been a lot of interest in the study of isometry invariant Poisson processes of $k$ -flats in $d$ -dimensional hyperbolic space $H^{d}$ , for $0\le k\l…