3 citations · 3 across the 6 of their papers we have counts for
6 papers
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…
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…
Gaussian fluctuations for edge counts in high-dimensional random geometric graphs
Jens Grygierek, Christoph Thaele
Consider a stationary Poisson point process in and connect any two points whenever their distance is less than or equal to a prescribed distance parameter. This cons…
A new quantitative central limit theorem on the Wiener space with applications to Gaussian processes
Tobias Fissler, Christoph Thaele
Quantitative limit theorems for non-linear functionals on the Wiener space are considered. Given the possibly infinite sequence of kernels of the chaos decomposition of such a func…
Intrinsic Volumes of the Maximal Polytope Process in Higher Dimensional STIT Tessellations
Tomasz Schreiber, Christoph Thaele
Stationary and isotropic iteration stable random tessellations are considered, which can be constructed by a random process of cell division. The collection of maximal polytopes at…
Second-Order Properties and Central Limit Theory for the Vertex Process of Iteration Infinitely Divisible and Iteration Stable Random Tessellations in the Plane
Tomasz Schreiber, Christoph Thaele
The point process of vertices of an iteration infinitely divisible or more specifically of an iteration stable random tessellation in the Euclidean plane is considered. We explicit…