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The set covariance of a dead leaves model

Part of: Global differential geometry Multivariate analysis Geometric probability and stochastic geometry

Published online by Cambridge University Press:  19 February 2016

Wilfried Gille
Wilfried Gille*
Affiliation:
Martin-Luther-Universität Halle-Wittenberg
*
∗ Postal address: Department of Physics, Martin-Luther-Universität Halle-Wittenberg, SAS-Laboratory, Hoher Weg 8, D-06120 Halle, Germany. Email address: gille@physik.uni-halle.de
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Abstract

The set covariance of a dead leaves model, constructed from hard spheres of constant diameter, is calculated analytically. The calculation is based on the covariance of a single sphere and on the pair correlation function of the centres of the spheres. There exist applications in the field of random sequential adsorption and in the interpretation of small-angle scattering experiments.

Keywords

Pair correlation functionset covarianceSAS-correlation function

MSC classification

Primary: 60D05: Geometric probability and stochastic geometry 62H35: Image analysis 53C80: Applications to physics
Type
Stochastic Geometry and Statistical Applications
Information
Advances in Applied Probability , Volume 34 , Issue 1 , March 2002 , pp. 11 - 20
Copyright
Copyright © Applied Probability Trust 2002 

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