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Anisotropic Poisson Processes of Cylinders

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.

preprint2010arXivOpen access
Malte SpiessEvgeny Spodarev
math.PR
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Open access2 authors1 topic
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Malte SpiessEvgeny Spodarev

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