15 citations · 101 across the 48 of their papers we have counts for
4 papers · 1 filter
A Blaschke-Petkantschin formula for linear and affine subspaces with application to intersection probabilities
Emil Dare, Markus Kiderlen, Christoph Thaele
Consider a uniformly distributed random linear subspace and a stochastically independent random affine subspace in , both of fixed dimension. For a natural cl…
Random polytopes: central limit theorems for intrinsic volumes
Christoph Thaele, Nicola Turchi, Florian Wespi
Short and transparent proofs of central limit theorems for intrinsic volumes of random polytopes in smooth convex bodies are presented. They combine different tools such as estimat…
Intersection and proximity of processes of flats
Daniel Hug, Christoph Thaele, Wolfgang Weil
Weakly stationary random processes of -dimensional affine subspaces (flats) in are considered. If , then intersection processes are investigated, while…
Poisson polyhedra in high dimensions
Julia Hoerrmann, Daniel Hug, Matthias Reitzner +1
The zero cell of a parametric class of random hyperplane tessellations depending on a distance exponent and an intensity parameter is investigated, as the space dimension tends to…