Geodesic
The distribution of the number of nodes in the relative interior of the typical I-segment in homogeneous planar anisotropic STIT Tessellations
Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 3, pp. 503-512

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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/Thäle, 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 ${_2F_1}$.
Classification : 05B45, 52A22, 60D05, 60G55
Keywords: hypergeometric function; iteration/nesting; random tessellation; segments; stochastic geometry; stochastic stability 
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     title = {The distribution of the number of nodes in the relative interior of the typical {I-segment} in homogeneous planar anisotropic {STIT} {Tessellations}},
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Thäle, Christoph. The distribution of the number of nodes in the relative interior of the typical I-segment in homogeneous planar anisotropic STIT Tessellations. Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 3, pp. 503-512. http://geodesic.mathdoc.fr/item/CMUC_2010__51_3_a11/