2 citations · 2 across the 5 of their papers we have counts for
6 papers
Joseph Mecke's last fragmentary manuscripts - a compilation
Joseph Mecke, Werner Nagel, Viola Weiss
Summarizing results from Joseph Mecke's last fragmentary manuscripts, the generating function and the Laplace transform for nonnegative random variables are considered. The concept…
A Mecke-type formula and Markov properties for STIT tessellation processes
Werner Nagel, Linh Ngoc Nguyen, Christoph Thaele +1
An analogue of the classical Mecke formula for Poisson point processes is proved for the class of space-time STIT tessellation processes. From this key identity the Markov property…
Column tessellations
Ngoc Linh Nguyen, Viola Weiss, Richard Cowan
A new class of random spatial tessellations is introduced -- the so-called column tessellations of three-dimensional space. The construction is based on a stationary planar tessell…
Constraints on the fundamental topological parameters of spatial tessellations
Richard Cowan, Viola Weiss
Tessellations of that use convex polyhedral cells to fill the space can be extremely complicated, especially if they are not facet-to-facet, that is, if the facets of a cell…
The combinatorial structure of spatial STIT tessellations
Christoph Thaele, Viola Weiss
Spatially homogeneous random tessellations that are stable under iteration (nesting) in the 3-dimensional Euclidean space are considered, so-called STIT tessellations. They arise a…
Spatial STIT Tessellations -- Distributional Results for I-Segments
Christoph Thaele, Viola Weiss, Werner Nagel
Three-dimensional random tessellations that are stable under iteration (STIT tessellations) are considered. They arise as a result of subsequent cell division, which implies that t…