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Disagreement percolation for Gibbs ball models by Hofer-Temmel, Christoph; Houdebert, Pierre is a scholarly article available to read on EtoBox.

What is Disagreement percolation for Gibbs ball models about?

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.

Author

Hofer-Temmel, Christoph; Houdebert, Pierre

Published

2017

Language

EN