Refine
Document Type
- Article (3) (remove)
Language
- English (3)
Is part of the Bibliography
- yes (3)
Keywords
- DLR equation (1)
- DLR equations (1)
- Dobrushin criterion; (1)
- Gibbs point process (1)
- Infinite-dimensional interacting diffusion (1)
- Marked Gibbs process (1)
- Specific entropy (1)
- cluster expansion (1)
- disagreement percolation (1)
- random point processes (1)
- statistical mechanics (1)
- stochastic analysis (1)
- uniqueness (1)
Institute
An explicit Dobrushin uniqueness region for Gibbs point processes with repulsive interactions
(2022)
We present a uniqueness result for Gibbs point processes with interactions that come from a non-negative pair potential; in particular, we provide an explicit uniqueness region in terms of activity z and inverse temperature beta. The technique used relies on applying to the continuous setting the classical Dobrushin criterion. We also present a comparison to the two other uniqueness methods of cluster expansion and disagreement percolation, which can also be applied for this type of interaction.