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math.PR2025
Random Tessellations -- An Overview of Models
Claudia Redenbach, Christian Jung
Random tessellations are a prominent class of models in stochastic geometry. In this chapter, we give an overview of mechanisms that have been used to formulate random tessellation…
math.PR2012
Asymptotic shape of small cells
Mareen Beermann, Claudia Redenbach, Christoph Thaele
A stationary Poisson line tessellation is considered whose directional distribution is concentrated on two different atoms with some positive weights. The shape of the typical cell…
math.PR2011
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…