Daniel Hug

activity

20242026

collaborators

4 papers

math.PR2026

Lengths and incidences in Poisson hypersphere and spherical splitting tessellations

Daniel Hug, Christoph Thäle

We investigate distributional properties of two random tessellation models on the $d$ -dimen\-sional unit sphere. First, we analyze the Poisson hypersphere tessellation generated by…

math.PR2025

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 $H^{d}$ of constant curvature $- 1$ , with $d \geq 4$ and $1 \leq k \leq d - 1$ . It is…

math.PR2025

Visibility and intersection density for Boolean models in hyperbolic space

Tillmann Bühler, 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.PR2024

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

Tillmann Bühler, 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…