A simplified proof of a conjecture of D. G. Kendall concerning shapes of random polygons.
Kovalenko, Igor N. (1999)
Journal of Applied Mathematics and Stochastic Analysis
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Displaying similar documents to “Special issue: Probabilistic analysis and models.”
A simplified proof of a conjecture of D. G. Kendall concerning shapes of random polygons.
On certain random polygons of large areas.
Kovalenko, Igor N. (1998)
Journal of Applied Mathematics and Stochastic Analysis
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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.
Simple polygons with an infinite sequence of deflations.
Fevens, Thomas, Hernandez, Antonio, Mesa, Antonio, Morin, Patrick, Soss, Michael, Toussaint, Godfried (2001)
Beiträge zur Algebra und Geometrie
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A convex polygon as a discrete plane curve.
Góźdź, Stanisław (1999)
Balkan Journal of Geometry and its Applications (BJGA)
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Random processes with convex coordinates on triangular graphs.
Boyd, J.N., Raychowdhury, P.N. (1997)
International Journal of Mathematics and Mathematical Sciences
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Stereology of grain boundary precipitates
Vratislav Horálek (1989)
Aplikace matematiky
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Precipitates modelled by rotary symmetrical lens-shaped discs are situated on matrix grain boundaries and the homogeneous specimen is intersected by a plate section. The stereological model presented enables one to express all basic parameters of spatial structure and moments of the corresponding probability distributions of quantitative characteristics of precipitates in terms of planar structure parameters the values of which can be estimated from measurements carried out in the plane...
Probability that n Random Points Are in Convex Position.
P. Valtr (1995)
Discrete & computational geometry
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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...