TY  - JOUR
A1  - Houdebert, Pierre
A1  - Zass, Alexander
T1  - An explicit Dobrushin uniqueness region for Gibbs point processes with repulsive interactions
JF  - Journal of applied probability / Applied Probability Trust
N2  - 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.
KW  - Gibbs point process
KW  - DLR equations
KW  - uniqueness
KW  - Dobrushin criterion;
KW  - cluster expansion
KW  - disagreement percolation
Y1  - 2022
U6  - https://doi.org/10.1017/jpr.2021.70
SN  - 0021-9002
SN  - 1475-6072
VL  - 59
IS  - 2
SP  - 541
EP  - 555
PB  - Cambridge Univ. Press
CY  - Cambridge
ER  -