13 citations · 62 across the 26 of their papers we have counts for
5 papers · 2 filters
The typical irregularity of virtual convex bodies
Rolf Schneider
The semigroup of convex bodies in with Minkowski addition has a canonical embedding into an abelian group; its elements have been called virtual convex bodies. Geom…
On the cells in a stationary Poisson hyperplane mosaic
Matthias Reitzner, Rolf Schneider
Let be the mosaic generated by a stationary Poisson hyperplane process in . Under some mild conditions on the spherical directional distribution of $\ha…
The middle hedgehog of a planar convex body
Rolf Schneider
A convexity point of a convex body is a point with the property that the union of the body and its reflection in the point is convex. It is proved that in the plane a typical conve…
Rotation covariant local tensor valuations on convex bodies
Daniel Hug, Rolf Schneider
For valuations on convex bodies in Euclidean spaces, there is by now a long series of characterization and classification theorems. The classical template is Hadwiger's theorem, sa…
covariant local tensor valuations on polytopes
Daniel Hug, Rolf Schneider
The Minkowski tensors are valuations on the space of convex bodies in with values in a space of symmetric tensors, having additional covariance and continuity prope…