141 citations · 441 across the 51 of their papers we have counts for
6 papers · 2 filters
Isotropic measures, and stronger forms of the reverse isoperimetric inequality
Karoly J. Boroczky, Daniel Hug
A stability version of the reverse isoperimetric inequality, and the corresponding inequality for isotropic measures are established.
The volume of random polytopes circumscribed around a convex body
Ferenc Fodor, Daniel Hug, Ines Ziebarth
Let be a convex body in which slides freely in a ball. Let denote the intersection of closed half-spaces containing whose bounding hyperplanes…
The Dual Orlicz-Brunn-Minkowski Theory
Richard J. Gardner, Daniel Hug, Wolfgang Weil +1
This paper introduces the dual Orlicz-Brunn-Minkowski theory for star sets. A radial Orlicz addition of two or more star sets is proposed and a corresponding dual Orlicz-Brunn-Mink…
Intersection and proximity of processes of flats
Daniel Hug, Christoph Thaele, Wolfgang Weil
Weakly stationary random processes of -dimensional affine subspaces (flats) in are considered. If , then intersection processes are investigated, while…
Poisson polyhedra in high dimensions
Julia Hoerrmann, Daniel Hug, Matthias Reitzner +1
The zero cell of a parametric class of random hyperplane tessellations depending on a distance exponent and an intensity parameter is investigated, as the space dimension tends to…
Affine diameters of convex bodies
Imre Barany, Daniel Hug, Rolf Schneider
We prove sharp inequalities for the average number of affine diameters through the points of a convex body in . These inequalities hold if is either a polyto…