15 citations · 101 across the 48 of their papers we have counts for
6 papers · 2 filters
Random cones in high dimensions I: Donoho-Tanner and Cover-Efron cones
Thomas Godland, Zakhar Kabluchko, Christoph Thaele
Two models of random cones in high dimensions are considered, together with their duals. The Donoho-Tanner random cone can be defined as the positive hull of independ…
On random convex chains, orthogonal polynomials, PF sequences and probabilistic limit theorems
Anna Gusakova, Christoph Thäle
Let be the triangle in the plane with vertices , and . The convex hull of , and independent random points uniformly distributed in …
Concentration on Poisson spaces via modified -Sobolev inequalities
Anna Gusakova, Holger Sambale, Christoph Thaele
Concentration properties of functionals of general Poisson processes are studied. Using a modified -Sobolev inequality a recursion scheme for moments is established, which is of…
The -Delaunay tessellation I: Description of the model and geometry of typical cells
Anna Gusakova, Zakhar Kabluchko, Christoph Thäle
In this paper two new classes of stationary random simplicial tessellations, the so-called - and -Delaunay tessellations, are introduced. Their construction is based on a sp…
A new approach to weak convergence of random cones and polytopes
Zakhar Kabluchko, Daniel Temesvari, Christoph Thäle
A new approach to prove weak convergence of random polytopes on the space of compact convex sets is presented. This is used to show that the profile of the rescaled Schläfli random…
Multi-Dimensional Normal Approximation of Heavy-Tailed Moving Averages
Ehsan Azmoodeh, Mathias Mørck Ljungdahl, Christoph Thäle
In this paper we extend the refined second-order Poincaré inequality for Poisson functionals from a one-dimensional to a multi-dimensional setting. Its proof is based on a multivar…