T. Kaufmann

activity

20152022

most citedHadron Fragmentation Inside Jets in Hadronic Collisions

88 citations · 228 across the 14 of their papers we have counts for

collaborators

Showing math.PRShow all

5 papers · 1 filter

math.PR2022

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…

math.PR2022

Large deviations for uniform projections of $p$ -radial distributions on $ℓ_{p}^{n}$ -balls

Tom Kaufmann, Holger Sambale, Christoph Thäle

We consider products of uniform random variables from the Stiefel manifold of orthonormal $k$ -frames in $R^{n}$ , $k \leq n$ , and random vectors from the $n$ -dimensional $\ell…

math.PR2021

Sharpening the probabilistic Arithmetic-Geometric Mean Inequality

Tom Kaufmann, Christoph Thäle

We consider the $p$ -generalized arithmetic-geometric mean inequality for vectors chosen randomly from the $ℓ_{p}^{n}$ -ball in $R^{n}$ . In this setting the inequality can be i…

math.PR2021

Weighted $p$ -radial Distributions on Euclidean and Matrix $p$ -balls with Applications to Large Deviations

Tom Kaufmann, Christoph Thaele

A probabilistic representation for a class of weighted $p$ -radial distributions, based on mixtures of a weighted cone probability measure and a weighted uniform distribution on the…

math.PR2021★ 3 cited

Sharp Asymptotics for $q$ -Norms of Random Vectors in High-Dimensional $ℓ_{p}^{n}$ -Balls

Tom Kaufmann

Sharp large deviation results of Bahadur-Ranga Rao type are provided for the $q$ -norm of random vectors distributed on the $ℓ_{p}^{n}$ -ball $B_{p}^{n}$ according to…

Second-order properties for planar Mondrian tessellations

Large deviations for uniform projections of p-radial distributions on ℓpn​-balls

Sharpening the probabilistic Arithmetic-Geometric Mean Inequality

Weighted p-radial Distributions on Euclidean and Matrix p-balls with Applications to Large Deviations

Sharp Asymptotics for q-Norms of Random Vectors in High-Dimensional ℓpn​-Balls

Large deviations for uniform projections of $p$ -radial distributions on $ℓ_{p}^{n}$ -balls

Weighted $p$ -radial Distributions on Euclidean and Matrix $p$ -balls with Applications to Large Deviations

Sharp Asymptotics for $q$ -Norms of Random Vectors in High-Dimensional $ℓ_{p}^{n}$ -Balls