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Displaying similar documents to “A simplified proof of a conjecture of D. G. Kendall concerning shapes of random polygons.”

Random lines and tessellations in a plane.

Luis A. Santaló (1980)

Stochastica

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Our purpose is the study of the so called mixed random mosaics, formed by superposition of a given tesellation, not random, of congruent convex polygons and a homogeneous Poisson line process. We give the mean area, the mean perimeter and the mean number of sides of the polygons into which such mosaics divide the plane.

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

Christoph Thäle (2010)

Commentationes Mathematicae Universitatis Carolinae

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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...