TY  - JOUR
A1  - Hofer-Temmel, Christoph
A1  - Houdebert, Pierre
T1  - Disagreement percolation for Gibbs ball models
JF  - Stochastic processes and their application
N2  - We generalise disagreement percolation to Gibbs point processes of balls with varying radii. This allows to establish the uniqueness of the Gibbs measure and exponential decay of pair correlations in the low activity regime by comparison with a sub-critical Boolean model. Applications to the Continuum Random Cluster model and the Quermass-interaction model are presented. At the core of our proof lies an explicit dependent thinning from a Poisson point process to a dominated Gibbs point process. (C) 2018 Elsevier B.V. All rights reserved.
KW  - Continuum random cluster model
KW  - Disagreement percolation
KW  - Dependent thinning
KW  - Boolean model
KW  - Stochastic domination
KW  - Phase transition
KW  - Unique Gibbs state
KW  - Exponential decay of pair correlation
Y1  - 2019
U6  - https://doi.org/10.1016/j.spa.2018.11.003
SN  - 0304-4149
SN  - 1879-209X
VL  - 129
IS  - 10
SP  - 3922
EP  - 3940
PB  - Elsevier
CY  - Amsterdam
ER  -