141 citations · 441 across the 51 of their papers we have counts for
4 papers · 2 filters
Hölder continuity of normal cycles and of support measures of convex bodies
Daniel Hug, Rolf Schneider
We provide an estimate of the distance (in the dual flat seminorm) of the normal cycles of convex bodies with given Hausdorff distance. We also give an estimate (in the bounded Lip…
Local tensor valuations
Daniel Hug, Rolf Schneider
The local Minkowski tensors are valuations on the space of convex bodies in Euclidean space with values in a space of tensor measures. They generalize at the same time the intrinsi…
Extensions of translation invariant valuations on polytopes
Wolfram Hinderer, Daniel Hug, Wolfgang Weil
We study translation invariant, real-valued valuations on the class of convex polytopes in Euclidean space and discuss which continuity properties are sufficient for an extension o…
The Orlicz-Brunn-Minkowski theory: A general framework, additions, and inequalities
Richard J. Gardner, Daniel Hug, Wolfgang Weil
The Orlicz-Brunn-Minkowski theory, introduced by Lutwak, Yang, and Zhang, is a new extension of the classical Brunn-Minkowski theory. It represents a generalization of the -Br…