Gibbsian representation for point processes via hyperedge potentials

DOI10.1007/s10959-019-00960-7zbMath1462.82012arXiv1707.05991OpenAlexW2986681503MaRDI QIDQ2224968

Christof Külske, Benedikt Jahnel

Publication date: 4 February 2021

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.05991

zbMATH Keywords

Widom-Rowlinson modelGibbsian point processeshyperedge potentialsKozlov theoremSullivan theorem

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items

Gibbs-non-Gibbs transitions in the fuzzy Potts model with a Kac-type interaction: closing the Ising gap, Attractor properties for irreversible and reversible interacting particle systems

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