Random Cluster Tessellations

Details Random Cluster Tessellations Random Cluster Tessellations

2007-12-11

arxiv.org/abs/0712.1684v1

Mathematics

Metric Geometry

14 pages, 13 figures

Scientific paper

This article describes, in elementary terms, a generic approach to produce
discrete random tilings and similar random structures by using point process
theory. The standard Voronoi and Delone tilings can be constructed in this way.
For this purpose, convex polytopes are replaced by their vertex sets. Three
explicit constructions are given to illustrate the concept.

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