On the uniqueness of Gibbs distributions with a non-negative and subcritical pair potential
DOI10.1214/22-aihp1265arXiv2108.06303OpenAlexW3193497279MaRDI QIDQ6100146
Publication date: 21 June 2023
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.06303
percolationrandom connection modelGibbs processPoisson embeddingpair potentialsdisagreement couplinguniqueness of Gibbs distributions
Geometric probability and stochastic geometry (60D05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
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Cites Work
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- Scale-free percolation
- Limit theorems for geometric functionals of Gibbs point processes
- Gibbs point process approximation: total variation bounds using Stein's method
- Existence of Gibbsian point processes with geometry-dependent interactions
- On continuum percolation
- Disagreement percolation in the study of Markov fields
- Sharpness of the phase transition and lower bounds for the critical intensity in continuum percolation on \(\mathbb{R}^{d}\)
- Continuum percolation and Euclidean minimal spanning trees in high dimensions
- Mixed percolation as a bridge between site and bond percolation.
- Phase transition in continuum Potts models
- Sharp phase transition for the continuum Widom-Rowlinson model
- Atomic cluster expansion: completeness, efficiency and stability
- The random connection model and functions of edge-marked Poisson processes: second order properties and normal approximation
- Disagreement percolation for Gibbs ball models
- Superstable interactions in classical statistical mechanics
- Perfect simulation for interacting point processes, loss networks and Ising models.
- Analyticity for classical gasses via recursion
- Random Measures, Theory and Applications
- Gibbs states of continuum particle systems with unbounded spins: Existence and uniqueness
- Bemerkungen zu einer Arbeit von NGUYEN XUAN XANH und HANS ZESSIN
- On a continuum percolation model
- Stochastic and Integral Geometry
- Integral and Differential Characterizations of the GIBBS Process
- Stochastic comparison of point random fields
- Continuum Percolation
- The continuum Potts model at the disorder–order transition—a study by cluster dynamics
- An explicit Dobrushin uniqueness region for Gibbs point processes with repulsive interactions
- Existence of Gibbs point processes with stable infinite range interaction
- Decorrelation of a class of Gibbs particle processes and asymptotic properties of U-statistics
- Cluster Expansions for GIBBS Point Processes
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