Existence of Gibbsian point processes with geometry-dependent interactions

DOI10.1007/s00440-011-0356-5zbMath1256.60036arXiv1003.2875OpenAlexW2096836687MaRDI QIDQ714961

Hans-Otto Georgii, David Dereudre, Remy Drouilhet

Publication date: 12 October 2012

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.2875

zbMATH Keywords

entropyhypergraphsGibbs measureVoronoi tessellationDelaunay mosaic

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

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