Random planar tessellations are presented which are generated by subsequent division of their polygonal cells. The purpose is to develop parametric models for crack patterns appearing at length scales which can change by ...

We consider homogeneous STIT tessellations Y in the-dimensional Euclidean space R-l and show that the (spatial) beta-mixing rate converges to zero

For the STIT tessellation process, which is becoming one of the reference model in stochastic geometry for fracture modeling or cell division, we study several constructions in a window of R-l: A new method is provided ...