15 citations · 101 across the 48 of their papers we have counts for
5 papers · 1 filter
A random cell splitting scheme on the sphere
Christian Deuß, Julia Hörrmann, Christoph Thaele
A random recursive cell splitting scheme of the -dimensional unit sphere is considered, which is the spherical analogue of the STIT tessellation process from Euclidean stochasti…
Concentration and moderate deviations for Poisson polytopes and polyhedra
Julian Grote, Christoph Thaele
The convex hull generated by the restriction to the unit ball of a stationary Poisson point process in the -dimensional Euclidean space is considered. By establishing sharp boun…
Asymptotic theory for statistics of the Poisson--Voronoi approximation
Christoph Thäle, J. E. Yukich
This paper establishes expectation and variance asymptotics for statistics of the Poisson--Voronoi approximation of general sets, as the underlying intensity of the Poisson point p…
Discrete Malliavin-Stein method: Berry-Esseen bounds for random graphs and percolation
Kai Krokowski, Anselm Reichenbachs, Christoph Thaele
A new Berry-Esseen bound for non-linear functionals of non-symmetric and non-homogeneous infinite Rademacher sequences is established. It is based on a discrete version of the Mall…
A four moments theorem for Gamma limits on a Poisson chaos
Tobias Fissler, Christoph Thaele
This paper deals with sequences of random variables belonging to a fixed chaos of order generated by a Poisson random measure on a Polish space. The problem is investigated whe…