Random Cluster Tessellations
Metric Geometry
2007-12-12 v1 Probability
Abstract
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.
Keywords
Cite
@article{arxiv.0712.1684,
title = {Random Cluster Tessellations},
author = {Kai Matzutt},
journal= {arXiv preprint arXiv:0712.1684},
year = {2007}
}
Comments
14 pages, 13 figures