C. Thäle

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20172024

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Showing 2019Show all

2 papers · 1 filter

math.PR2019

Does a central limit theorem hold for the $k$ -skeleton of Poisson hyperplanes in hyperbolic space?

Felix Herold, Daniel Hug, Christoph Thähle

Poisson processes in the space of $(d - 1)$ -dimensional totally geodesic subspaces (hyperplanes) in a $d$ -dimensional hyperbolic space of constant curvature $- 1$ are studied. The $k$ …

math.PR2019

The typical cell of a Voronoi tessellation on the sphere

Zakhar Kabluchko, Christoph Thaele

The typical cell of a Voronoi tessellation generated by $n + 1$ uniformly distributed random points on the $d$ -dimensional unit sphere $S^{d}$ is studied. Its $f$ -vector is ide…

Does a central limit theorem hold for the k-skeleton of Poisson hyperplanes in hyperbolic space?

The typical cell of a Voronoi tessellation on the sphere

Does a central limit theorem hold for the $k$ -skeleton of Poisson hyperplanes in hyperbolic space?