An explicit Dobrushin uniqueness region for Gibbs point processes with repulsive interactions
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Publication:5087006
DOI10.1017/jpr.2021.70zbMath1496.60117arXiv2009.06352OpenAlexW3136248204MaRDI QIDQ5087006
Pierre Houdebert, Alexander Zass
Publication date: 8 July 2022
Published in: Journal of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.06352
uniquenesscluster expansionGibbs point processdisagreement percolationDLR equationsdobrushin criterion
Related Items (3)
Structural properties of Gibbsian point processes in abstract spaces ⋮ On the uniqueness of Gibbs distributions with a non-negative and subcritical pair potential ⋮ Analyticity for classical gasses via recursion
Cites Work
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- A probability path
- Gibbs measures and phase transitions.
- Existence of Gibbsian point processes with geometry-dependent interactions
- Density estimation for point processes
- An introduction to the theory of point processes
- Canonical Gibbs measures. Some extensions of de Finetti's representation theorem for interacting particle systems
- Disagreement percolation in the study of Markov fields
- Uniqueness of Gibbs state for non-ideal gas in \(\mathbb R^d\): The case of multibody interaction
- Phase transition for continuum Widom-Rowlinson model with random radii
- Upper bounds for spatial point process approximations
- A uniqueness condition for Gibbs measures, with application to the 2- dimensional Ising antiferromagnet
- Continuum percolation and Euclidean minimal spanning trees in high dimensions
- The analysis of the Widom-Rowlinson model by stochastic geometric methods
- Uniqueness of Gibbs state for nonideal gas in \(\mathbb{R}^d\): The case of pair potentials
- Marked Gibbs point processes with unbounded interaction: an existence result
- Disagreement percolation for Gibbs ball models
- The analyticity region of the hard sphere gas. Improved bounds
- Cluster expansion for abstract polymer models. New bounds from an old approach
- Superstable interactions in classical statistical mechanics
- Efficient measurement of the percolation threshold for fully penetrable discs
- CELL GAS MODEL OF CLASSICAL STATISTICAL SYSTEMS
- Abstract cluster expansion with applications to statistical mechanical systems
- A connected graph identity and convergence of cluster expansions
- The existence of quermass-interaction processes for nonlocally stable interaction and nonbounded convex grains
- A model for clustering
- Existence of Gibbs point processes with stable infinite range interaction
- Cluster Expansions for GIBBS Point Processes
- Lectures on the Poisson Process
- On the construction of point processes in statistical mechanics
- On Ising's model of ferromagnetism
- The Statistical Mechanics of Condensing Systems. I
- Observables at infinity and states with short range correlations in statistical mechanics
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