15 citations · 101 across the 48 of their papers we have counts for
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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…
Hausdorff dimension of visibility sets for well-behaved continuum percolation in the hyperbolic plane
Christoph Thaele
Let Z be a so-called well-behaved percolation, i.e. a certain random closed set in the hyperbolic plane, whose law is invariant under all isometries; for example the covered region…
On the arrangement of cells in planar STIT and Poisson line tessellations
Claudia Redenbach, Christoph Thaele
It is well known that the distributions of the interiors of the typical cell of a Poisson line tessellation and a STIT tessellation with the same parameters coincide. In this paper…
Limit theorems for iteration stable tessellations
Tomasz Schreiber, Christoph Thaele
The intent of this paper is to describe the large scale asymptotic geometry of iteration stable (STIT) tessellations in , which form a rather new, rich and flexible c…
Geometry of iteration stable tessellations: Connection with Poisson hyperplanes
Tomasz Schreiber, Christoph Thaele
Since the seminal work by Nagel and Weiss, the iteration stable (STIT) tessellations have attracted considerable interest in stochastic geometry as a natural and flexible, yet anal…
Shape-Driven Nested Markov Tessellations
Tomasz Schreiber, Christoph Thaele
A new and rather broad class of stationary (i.e. stochastically translation invariant) random tessellations of the -dimensional Euclidean space is introduced, which are called s…