Journal of Statistical Physics

, Volume 131, Issue 1, pp 127–151 | Cite as

Gibbs Delaunay Tessellations with Geometric Hardcore Conditions

  • David Dereudre


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.


Stochastic geometry Gibbs measure Delaunay tessellation 


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© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Université de Valenciennes et du Hainaut-CambrésisValenciennes Cedex 09France

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