Gibbs Delaunay Tessellations with Geometric Hardcore Conditions

Details Gibbs Delaunay Tessellations with Geometric Hardcore Conditions Gibbs Delaunay Tessellations with Geometric Hardcore Conditions

Apr 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008jsp...131..127d&link_type=abstract

Journal of Statistical Physics, Volume 131, Issue 1, pp.127-151

Physics

2

Stochastic Geometry, Gibbs Measure, Delaunay Tessellation

Scientific paper

In this paper, we prove the existence of infinite Gibbs Delaunay
tessellations on ℝ2. The interaction depends on the local
geometry of the tessellation. We introduce a geometric hardcore
condition on small and large cells, consequently we can construct more
regular infinite random Delaunay tessellations.

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