## Christoph Thäle

*The distribution of the number of nodes in the relative interior of the typical I-segment in homogeneous planar anisotropic STIT Tessellations*

Comment.Math.Univ.Carolin. 51,3 (2010) 503-512.**Abstract:**A result about the distribution of the number of nodes in the relative interior of the typical I-segment in homogeneous and isotropic random tessellations stable under iteration (STIT tessellations) is extended to the anisotropic case using recent findings from Schreiber/Th\"ale, {\it Typical geometry, second-order properties and central limit theory for iteration stable tessellations\/}, arXiv:1001.0990 [math.PR] (2010). Moreover a new expression for the values of this probability distribution is presented in terms of the Gauss hypergeometric function ${_2F_1}$.

**Keywords:** hypergeometric function, iteration/nesting, random tessellation, segments, stochastic geometry, stochastic stability

**AMS Subject Classification:** 60D05 60G55 52A22

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