153 citations · 485 across the 45 of their papers we have counts for
56 papers
Curvature functionals on convex bodies
Kateryna Tatarko, Elisabeth M. Werner
We investigate the weighted affine surface areas which appear in the recently established Steiner formula of the Brunn Minkowski theory. We show that they are val…
Ulam floating functions
Chunyan Liu, Elisabeth M. Werner, Deping Ye +1
We extend the notion of Ulam floating sets from convex bodies to Ulam floating functions. We use the Ulam floating functions to derive a new variational formula for the affine surf…
Spherical convex hull of random points on a wedge
Florian Besau, Anna Gusakova, Matthias Reitzner +3
Consider two half-spaces and in whose bounding hyperplanes and are orthogonal and pass through the origin. The intersection $\mathbb{…
Geometric representation of classes of concave functions and duality
Grigory Ivanov, Elisabeth M. Werner
Using a natural representation of a -concave function on as a convex set in we derive a simple formula for the integral of its -polar. Th…
Best and random approximation of a convex body by a polytope
Joscha Prochno, Carsten Schütt, Elisabeth M. Werner
In this paper, we give an overview of some results concerning best and random approximation of convex bodies by polytopes. We explain how both are linked and see that random approx…
Affine invariant maps for log-concave functions
Ben Li, Carsten Schütt, Elisabeth M. Werner
Affine invariant points and maps for sets were introduced by Grünbaum to study the symmetry structure of convex sets. We extend these notions to a functional setting. The role of s…