Anisotropic Poisson Processes of Cylinders

Malte Spiess () and Evgeny Spodarev ()
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Malte Spiess: Ulm University
Evgeny Spodarev: Ulm University

Methodology and Computing in Applied Probability, 2011, vol. 13, issue 4, 801-819

Abstract: Abstract Main characteristics of stationary anisotropic Poisson processes of cylinders (dilated k-dimensional flats) in d-dimensional Euclidean space are studied. Explicit formulae for the capacity functional, the covariance function, the contact distribution function, the volume fraction, and the intensity of the surface area measure are given which can be used directly in applications.

Keywords: Porous media; Fiber process; Anisotropy; Intrinsic volumes; Stochastic geometry; 60D05; 60G10 (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s11009-010-9193-8

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