141 citations · 441 across the 51 of their papers we have counts for
64 papers
Boolean models
Daniel Hug, Günter Last, Wolfgang Weil
The topic of this survey are geometric functionals of a Boolean model (in Euclidean space) governed by a stationary Poisson process of convex grains. The Boolean model is a fundame…
Vectorial analogues of Cauchy's surface area formula
Daniel Hug, Rolf Schneider
Cauchy's surface area formula says that for a convex body in -dimensional Euclidean space the mean value of the -dimensional volumes of the orthogonal projections of…
Intersections of Poisson -flats in constant curvature spaces
Carina Betken, Daniel Hug, Christoph Thäle
Poisson processes in the space of -dimensional totally geodesic subspaces (-flats) in a -dimensional standard space of constant curvature are studied, who…
Curvature measures and soap bubbles beyond convexity
Daniel Hug, Mario Santilli
Extending the celebrated results of Alexandrov (1958) and Korevaar-Ros (1988) for smooth sets, as well as the results of Schneider (1979) and the first author (1999) for arbitrary…
On a game of chance in Marc Elsberg's thriller "GREED"
Tamara Göll, Daniel Hug
A (possibly illegal) game of chance, which is described in Chapter 14 of Marc Elsberg's thriller "GREED", seems to offer an excellent chance of winning. However, as the gambling st…
Reverse Alexandrov--Fenchel inequalities for zonoids
Károly J. Böröczky, Daniel Hug
The Alexandrov--Fenchel inequality bounds from below the square of the mixed volume of convex bodies in by the product o…