English

Anisotropic Poisson Processes of Cylinders

Probability 2010-06-29 v2

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

Cite

@article{arxiv.1006.4750,
  title  = {Anisotropic Poisson Processes of Cylinders},
  author = {Malte Spiess and Evgeny Spodarev},
  journal= {arXiv preprint arXiv:1006.4750},
  year   = {2010}
}

Comments

19 pages, 2 figures

R2 v1 2026-06-21T15:40:28.121Z