Anisotropic Poisson Processes of Cylinders

Mathematics – Probability

Scientific paper

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19 pages, 2 figures

Scientific paper

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.

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