15 citations · 101 across the 48 of their papers we have counts for
4 papers · 1 filter
Vertex number of the typical cell in a tri-directional Poisson line tessellation
Nils Heerten, Janina Hübner, Christoph Thäle
This paper deals with the typical cell in a Poisson line tessellation in the plane whose directional distribution is concentrated on three equally spread values with possibly diffe…
Moderate deviations on Poisson chaos
Matthias Schulte, Christoph Thaele
This paper deals with U-statistics of Poisson processes and multiple Wiener-Itô integrals on the Poisson space. Via sharp bounds on the cumulants for both classes of random variabl…
A quantitative central limit theorem for Poisson horospheres in high dimensions
Zakhar Kabluchko, Daniel Rosen, Christoph Thäle
Consider a stationary Poisson process of horospheres in a -dimensional hyperbolic space. In the focus of this note is the total surface area these random horospheres induce in a…
Sectional Voronoi tessellations: Characterization and high-dimensional limits
Anna Gusakova, Zakhar Kabluchko, Christoph Thaele
The intersections of beta-Voronoi, beta-prime-Voronoi and Gaussian-Voronoi tessellations in with -dimensional affine subspaces, , are shown…