Existence of Delaunay pairwise Gibbs point process with superstable component
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Publication:1308042
DOI10.1023/A:1004551527790zbMath0933.60048MaRDI QIDQ1308042
Jean-Michel Billiot, Etienne Bertin, Remy Drouilhet
Publication date: 22 November 1999
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Delaunay triangulationGibbs statespairwise interactionlocal specificationssuperstable interactionDLR equations
Stochastic methods applied to problems in equilibrium statistical mechanics (82B31) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
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Phase transitions in Delaunay Potts models ⋮ Gibbs Delaunay tessellations with geometric hardcore conditions ⋮ Practical simulation and estimation for Gibbs Delaunay-Voronoi tessellations with geometric hardcore interaction ⋮ \(R\)-local Delaunay inhibition model ⋮ Existence of Gibbsian point processes with geometry-dependent interactions ⋮ The Widom-rowlinson model on the Delaunay graph ⋮ Branching random tessellations with interaction: a thermodynamic view
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