The Widom-rowlinson model on the Delaunay graph

DOI10.1214/19-EJP370zbMath1427.60086arXiv1705.07649OpenAlexW2979443834MaRDI QIDQ2279307

Michael Eyers, Stefan Adams

Publication date: 12 December 2019

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

Full work available at URL: https://arxiv.org/abs/1705.07649

zbMATH Keywords

phase transitionGibbs measurescoarse grainingDelaunay tessellationrandom cluster measuresmixed site-bond percolationmulti-body interaction.Widom-Rowlinson

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Phase transitions (general) in equilibrium statistical mechanics (82B26) Percolation (82B43) Random measures (60G57) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

• Unnamed Item
• Phase transitions in Delaunay Potts models
• Practical simulation and estimation for Gibbs Delaunay-Voronoi tessellations with geometric hardcore interaction
• Existence of Gibbsian point processes with geometry-dependent interactions
• A classical WR model with \(q\) particle types
• Spontaneous breaking of continuous rotational symmetry in two dimensions
• Variational characterisation of Gibbs measures with Delaunay triangle interaction
• Liquid-vapor phase transitions for systems with finite-range interactions
• Existence of Delaunay pairwise Gibbs point process with superstable component
• Lectures on random Voronoi tessellations
• Large deviations and the equivalence of ensembles for Gibbsian particle systems with superstable interaction
• Phase transition in the nearest-neighbor continuum Potts model
• Potts models and random-cluster processes with many-body interactions
• The analysis of the Widom-Rowlinson model by stochastic geometric methods
• Phase transition in continuum Potts models
• Gibbs Delaunay tessellations with geometric hardcore conditions
• Superstable interactions in classical statistical mechanics
• The structure of Gibbs states and phase coexistence for non-symmetric continuum Widom Rowlinson models
• A generalization of McDiarmid's theorem for mixed Bernoulli percolation
• Stochastic comparison of point random fields
• Markov random fields and percolation on general graphs
• Continuum percolation in the Gabriel graph

This page was built for publication: The Widom-rowlinson model on the Delaunay graph