88 citations · 228 across the 14 of their papers we have counts for
14 papers
Second-order properties for planar Mondrian tessellations
Carina Betken, Tom Kaufmann, Kathrin Meier +1
In this paper planar STIT tesselations with weighted axis-parallel cutting directions are considered. They are known also as weighted planar Mondrian tesselations in the machine le…
Large deviations for uniform projections of -radial distributions on -balls
Tom Kaufmann, Holger Sambale, Christoph Thäle
We consider products of uniform random variables from the Stiefel manifold of orthonormal -frames in , , and random vectors from the -dimensional $\ell…
Sharpening the probabilistic Arithmetic-Geometric Mean Inequality
Tom Kaufmann, Christoph Thäle
We consider the -generalized arithmetic-geometric mean inequality for vectors chosen randomly from the -ball in . In this setting the inequality can be i…
Weighted -radial Distributions on Euclidean and Matrix -balls with Applications to Large Deviations
Tom Kaufmann, Christoph Thaele
A probabilistic representation for a class of weighted -radial distributions, based on mixtures of a weighted cone probability measure and a weighted uniform distribution on the…
Sharp Asymptotics for -Norms of Random Vectors in High-Dimensional -Balls
Tom Kaufmann
Sharp large deviation results of Bahadur-Ranga Rao type are provided for the -norm of random vectors distributed on the -ball according to…
Hadron-in-jet production at partonic threshold
Tom Kaufmann, Xiaohui Liu, Asmita Mukherjee +2
We consider the longitudinal momentum distribution of hadrons inside jets in proton-proton collisions. At partonic threshold large double logarithmic corrections arise which need t…