40 citations · 48 across the 27 of their papers we have counts for
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Face volume densities of positive-intensity and ideal Poisson--Voronoi tessellations in hyperbolic spaces
Matteo D'Achille, Christoph Thäle
We determine analytically for all the -volume densities of a Poisson--Voronoi tessellation of intensity in the -dimensional hyperbolic space of…
Visibility in the Boolean Model on Harmonic Manifolds
Enkelejd Hashorva, Christoph Thäle
In Poisson Boolean models with deterministic ball grains, the directional visible range from an uncovered point is known to be exponentially distributed in Euclidean and real hyper…
Central limit theorems for high dimensional lattice polytopes: cosmological polytopes
Torben Donzelmann, Martina Juhnke, Benedikt Rednoß +1
We study cosmological polytopes induced by Erdős--Rényi random graphs in a high-dimensional regime. These graph-based lattice polytopes form a natural model of random lattice polyt…
Central Limit Theorem for Random Partial Sphere Coverings in High Dimensions
Steven Hoehner, Christoph Thäle
We study a random partial covering model on the -dimensional unit sphere, where spherical caps are placed independently and uniformly at random, each covering a surface…
The volume of hyperbolic Poisson zero cells: critical divergence and exact second moment
Tillmann Bühler, Christoph Thäle
We investigate the second volume moment of the zero cell of a Poisson hyperplane tessellation with intensity in the -dimensional hyperbolic space. We focus on the phas…
Central limit theorems for high dimensional lattice polytopes: symmetric edge polytopes
Torben Donzelmann, Martina Juhnke, Benedikt Rednoß +1
We investigate symmetric edge polytopes generated by Erdős--Rényi random graphs in a high-dimensional regime. These objects provide a natural and largely unexplored model of random…