D. Hug

activity

20042023

most citedMinkowski Tensors of Anisotropic Spatial Structure

141 citations · 441 across the 51 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.PR2023

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…

math.MG2023

Vectorial analogues of Cauchy's surface area formula

Daniel Hug, Rolf Schneider

Cauchy's surface area formula says that for a convex body $K$ in $n$ -dimensional Euclidean space the mean value of the $(n - 1)$ -dimensional volumes of the orthogonal projections of…

math.PR2023

Intersections of Poisson $k$ -flats in constant curvature spaces

Carina Betken, Daniel Hug, Christoph Thäle

Poisson processes in the space of $k$ -dimensional totally geodesic subspaces ( $k$ -flats) in a $d$ -dimensional standard space of constant curvature $κ \in {- 1, 0, 1}$ are studied, who…

Boolean models

Vectorial analogues of Cauchy's surface area formula

Intersections of Poisson k-flats in constant curvature spaces

Intersections of Poisson $k$ -flats in constant curvature spaces