Christoph Thäle

collaborators

2 papers

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

Central limit theorems for the nearest neighbour embracing graph in Euclidean and hyperbolic space

Holger Sambale, Christoph ThÃ¤le, Tara Trauthwein

Consider a stationary Poisson process $I^\cdot$ in the $d$ -dimensional Euclidean or hyperbolic space and construct a random graph with vertex set $I^\cdot$ as follows. First, each point $x\i…