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The set covariance of a dead leaves model

Published online by Cambridge University Press:  19 February 2016

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: [email protected]

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.

Type
Stochastic Geometry and Statistical Applications
Copyright
Copyright © Applied Probability Trust 2002 

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