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Gibbs Delaunay Tessellations with Geometric Hardcore Conditions

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Abstract

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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  1. Université de Valenciennes et du Hainaut-Cambrésis, Le Mont Houy, 59313, Valenciennes Cedex 09, France

    David Dereudre

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  1. David Dereudre
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Correspondence to David Dereudre.

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Dereudre, D. Gibbs Delaunay Tessellations with Geometric Hardcore Conditions. J Stat Phys 131, 127–151 (2008). https://doi.org/10.1007/s10955-007-9479-6

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  • DOI: https://doi.org/10.1007/s10955-007-9479-6

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