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A Survey on Contact Distributions

  • Daniel Hug
  • Günter Last
  • Wolfgang Weil
Chapter
Part of the Lecture Notes in Physics book series (LNP, volume 600)

Abstract

This survey describes contact distributions of random structures from a geometric point of view. Various extensions of the classical contact distribution functions are considered. As a rule, we explain all concepts first in a simple situation, under the assumption of stationarity, and for Poisson point processes. In a second step we proceed to more complicated models. Particular emphasis is given to random patterns involving clustering.

Keywords

Poisson Process Point Process Convex Body Boolean Model Marked Point Process 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Daniel Hug
    • 1
  • Günter Last
    • 2
  • Wolfgang Weil
    • 3
  1. 1.Mathematisches InstitutUniversität FreiburgFreiburgGermany
  2. 2.Institut für Mathematische StochastikUniversität Karlsruhe (TH)Karlsruhe
  3. 3.Mathematisches Institut IIUniversität Karlsruhe (TH)Karlsruhe

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